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Finding the Fourth Proportional to 3,053.68, 4,580.55 and 973.67

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Solution

The fourth proportional to 3,053.68, 4,580.55 and 973.67 is: 1,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.68 : 4,580.55 = 973.67 : x
  2. Step 2: Convert to fraction form
    3,053.68/4,580.55 = 973.67/x
  3. Step 3: Cross multiply
    3,053.68x = 4,580.55 × 973.67
  4. Step 4: Simplify right side
    3,053.68x = 4,459,944.12
  5. Step 5: Solve for x
    x = 4,459,944.12/3,053.68
  6. Step 6: Final answer
    x = 1,460.51

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.