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Finding the Fourth Proportional to 2,740.34, 3,772.53 and 2,614.80

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Solution

The fourth proportional to 2,740.34, 3,772.53 and 2,614.80 is: 3,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.34 : 3,772.53 = 2,614.80 : x
  2. Step 2: Convert to fraction form
    2,740.34/3,772.53 = 2,614.80/x
  3. Step 3: Cross multiply
    2,740.34x = 3,772.53 × 2,614.80
  4. Step 4: Simplify right side
    2,740.34x = 9,864,411.44
  5. Step 5: Solve for x
    x = 9,864,411.44/2,740.34
  6. Step 6: Final answer
    x = 3,599.70

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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.