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Finding the Fourth Proportional to 2,015.76, 3,025.24 and 1,042.14

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Solution

The fourth proportional to 2,015.76, 3,025.24 and 1,042.14 is: 1,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.76 : 3,025.24 = 1,042.14 : x
  2. Step 2: Convert to fraction form
    2,015.76/3,025.24 = 1,042.14/x
  3. Step 3: Cross multiply
    2,015.76x = 3,025.24 × 1,042.14
  4. Step 4: Simplify right side
    2,015.76x = 3,152,723.61
  5. Step 5: Solve for x
    x = 3,152,723.61/2,015.76
  6. Step 6: Final answer
    x = 1,564.04

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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.