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Finding the Fourth Proportional to 3,099.42, 4,277.04 and 1,773.05

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Solution

The fourth proportional to 3,099.42, 4,277.04 and 1,773.05 is: 2,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.42 : 4,277.04 = 1,773.05 : x
  2. Step 2: Convert to fraction form
    3,099.42/4,277.04 = 1,773.05/x
  3. Step 3: Cross multiply
    3,099.42x = 4,277.04 × 1,773.05
  4. Step 4: Simplify right side
    3,099.42x = 7,583,384.39
  5. Step 5: Solve for x
    x = 7,583,384.39/3,099.42
  6. Step 6: Final answer
    x = 2,446.71

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Half scale
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Double scale
Find fourth proportional to 3,100.42, 4,278.42 and 1,774.05
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.