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Finding the Fourth Proportional to 2,539.96, 3,809.94 and 1,171

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Solution

The fourth proportional to 2,539.96, 3,809.94 and 1,171 is: 1,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.96 : 3,809.94 = 1,171 : x
  2. Step 2: Convert to fraction form
    2,539.96/3,809.94 = 1,171/x
  3. Step 3: Cross multiply
    2,539.96x = 3,809.94 × 1,171
  4. Step 4: Simplify right side
    2,539.96x = 4,461,439.74
  5. Step 5: Solve for x
    x = 4,461,439.74/2,539.96
  6. Step 6: Final answer
    x = 1,756.50

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Double scale
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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.