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Finding the Fourth Proportional to 2,520.72, 3,777.84 and 1,057.86

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Solution

The fourth proportional to 2,520.72, 3,777.84 and 1,057.86 is: 1,585.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.72 : 3,777.84 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    2,520.72/3,777.84 = 1,057.86/x
  3. Step 3: Cross multiply
    2,520.72x = 3,777.84 × 1,057.86
  4. Step 4: Simplify right side
    2,520.72x = 3,996,425.82
  5. Step 5: Solve for x
    x = 3,996,425.82/2,520.72
  6. Step 6: Final answer
    x = 1,585.43

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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.