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Finding the Fourth Proportional to 3,132.52, 4,699.16 and 1,024.09

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Solution

The fourth proportional to 3,132.52, 4,699.16 and 1,024.09 is: 1,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.52 : 4,699.16 = 1,024.09 : x
  2. Step 2: Convert to fraction form
    3,132.52/4,699.16 = 1,024.09/x
  3. Step 3: Cross multiply
    3,132.52x = 4,699.16 × 1,024.09
  4. Step 4: Simplify right side
    3,132.52x = 4,812,374.51
  5. Step 5: Solve for x
    x = 4,812,374.51/3,132.52
  6. Step 6: Final answer
    x = 1,536.27

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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.