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Finding the Fourth Proportional to 2,520.77, 3,777.87 and 1,287.14

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Solution

The fourth proportional to 2,520.77, 3,777.87 and 1,287.14 is: 1,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.77 : 3,777.87 = 1,287.14 : x
  2. Step 2: Convert to fraction form
    2,520.77/3,777.87 = 1,287.14/x
  3. Step 3: Cross multiply
    2,520.77x = 3,777.87 × 1,287.14
  4. Step 4: Simplify right side
    2,520.77x = 4,862,661.86
  5. Step 5: Solve for x
    x = 4,862,661.86/2,520.77
  6. Step 6: Final answer
    x = 1,929.04

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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.