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Finding the Fourth Proportional to 2,500.47, 3,753.95 and 1,577.88

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Solution

The fourth proportional to 2,500.47, 3,753.95 and 1,577.88 is: 2,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.47 : 3,753.95 = 1,577.88 : x
  2. Step 2: Convert to fraction form
    2,500.47/3,753.95 = 1,577.88/x
  3. Step 3: Cross multiply
    2,500.47x = 3,753.95 × 1,577.88
  4. Step 4: Simplify right side
    2,500.47x = 5,923,274.74
  5. Step 5: Solve for x
    x = 5,923,274.74/2,500.47
  6. Step 6: Final answer
    x = 2,368.86

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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.