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Finding the Fourth Proportional to 2,614.90, 3,917.50 and 1,503.04

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Solution

The fourth proportional to 2,614.90, 3,917.50 and 1,503.04 is: 2,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.90 : 3,917.50 = 1,503.04 : x
  2. Step 2: Convert to fraction form
    2,614.90/3,917.50 = 1,503.04/x
  3. Step 3: Cross multiply
    2,614.90x = 3,917.50 × 1,503.04
  4. Step 4: Simplify right side
    2,614.90x = 5,888,159.20
  5. Step 5: Solve for x
    x = 5,888,159.20/2,614.90
  6. Step 6: Final answer
    x = 2,251.77

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