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Finding the Fourth Proportional to 2,708.47, 3,737.90 and 2,153.52

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Solution

The fourth proportional to 2,708.47, 3,737.90 and 2,153.52 is: 2,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.47 : 3,737.90 = 2,153.52 : x
  2. Step 2: Convert to fraction form
    2,708.47/3,737.90 = 2,153.52/x
  3. Step 3: Cross multiply
    2,708.47x = 3,737.90 × 2,153.52
  4. Step 4: Simplify right side
    2,708.47x = 8,049,623.72
  5. Step 5: Solve for x
    x = 8,049,623.72/2,708.47
  6. Step 6: Final answer
    x = 2,972.02

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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.