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Finding the Fourth Proportional to 3,105.31, 4,656.98 and 1,024.92

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Solution

The fourth proportional to 3,105.31, 4,656.98 and 1,024.92 is: 1,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.31 : 4,656.98 = 1,024.92 : x
  2. Step 2: Convert to fraction form
    3,105.31/4,656.98 = 1,024.92/x
  3. Step 3: Cross multiply
    3,105.31x = 4,656.98 × 1,024.92
  4. Step 4: Simplify right side
    3,105.31x = 4,773,044.28
  5. Step 5: Solve for x
    x = 4,773,044.28/3,105.31
  6. Step 6: Final answer
    x = 1,537.06

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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.