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Finding the Fourth Proportional to 3,032.64, 4,545.72 and 1,083.24

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Solution

The fourth proportional to 3,032.64, 4,545.72 and 1,083.24 is: 1,623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.64 : 4,545.72 = 1,083.24 : x
  2. Step 2: Convert to fraction form
    3,032.64/4,545.72 = 1,083.24/x
  3. Step 3: Cross multiply
    3,032.64x = 4,545.72 × 1,083.24
  4. Step 4: Simplify right side
    3,032.64x = 4,924,105.73
  5. Step 5: Solve for x
    x = 4,924,105.73/3,032.64
  6. Step 6: Final answer
    x = 1,623.70

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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.