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Finding the Fourth Proportional to 2,711.80, 3,742.32 and 1,593.58

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Solution

The fourth proportional to 2,711.80, 3,742.32 and 1,593.58 is: 2,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.80 : 3,742.32 = 1,593.58 : x
  2. Step 2: Convert to fraction form
    2,711.80/3,742.32 = 1,593.58/x
  3. Step 3: Cross multiply
    2,711.80x = 3,742.32 × 1,593.58
  4. Step 4: Simplify right side
    2,711.80x = 5,963,686.31
  5. Step 5: Solve for x
    x = 5,963,686.31/2,711.80
  6. Step 6: Final answer
    x = 2,199.16

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