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Finding the Fourth Proportional to 2,685.42, 4,027.32 and 1,042.20

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Solution

The fourth proportional to 2,685.42, 4,027.32 and 1,042.20 is: 1,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.42 : 4,027.32 = 1,042.20 : x
  2. Step 2: Convert to fraction form
    2,685.42/4,027.32 = 1,042.20/x
  3. Step 3: Cross multiply
    2,685.42x = 4,027.32 × 1,042.20
  4. Step 4: Simplify right side
    2,685.42x = 4,197,272.90
  5. Step 5: Solve for x
    x = 4,197,272.90/2,685.42
  6. Step 6: Final answer
    x = 1,562.99

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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.