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Finding the Fourth Proportional to 2,470.10, 3,711.15 and 1,593.03

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Solution

The fourth proportional to 2,470.10, 3,711.15 and 1,593.03 is: 2,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.10 : 3,711.15 = 1,593.03 : x
  2. Step 2: Convert to fraction form
    2,470.10/3,711.15 = 1,593.03/x
  3. Step 3: Cross multiply
    2,470.10x = 3,711.15 × 1,593.03
  4. Step 4: Simplify right side
    2,470.10x = 5,911,973.28
  5. Step 5: Solve for x
    x = 5,911,973.28/2,470.10
  6. Step 6: Final answer
    x = 2,393.41

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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.