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Finding the Fourth Proportional to 2,410.96, 3,614.52 and 1,042

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Solution

The fourth proportional to 2,410.96, 3,614.52 and 1,042 is: 1,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.96 : 3,614.52 = 1,042 : x
  2. Step 2: Convert to fraction form
    2,410.96/3,614.52 = 1,042/x
  3. Step 3: Cross multiply
    2,410.96x = 3,614.52 × 1,042
  4. Step 4: Simplify right side
    2,410.96x = 3,766,329.84
  5. Step 5: Solve for x
    x = 3,766,329.84/2,410.96
  6. Step 6: Final answer
    x = 1,562.17

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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.