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Finding the Fourth Proportional to 1,545.96, 2,314.62 and 1,083.24

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Solution

The fourth proportional to 1,545.96, 2,314.62 and 1,083.24 is: 1,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.96 : 2,314.62 = 1,083.24 : x
  2. Step 2: Convert to fraction form
    1,545.96/2,314.62 = 1,083.24/x
  3. Step 3: Cross multiply
    1,545.96x = 2,314.62 × 1,083.24
  4. Step 4: Simplify right side
    1,545.96x = 2,507,288.97
  5. Step 5: Solve for x
    x = 2,507,288.97/1,545.96
  6. Step 6: Final answer
    x = 1,621.83

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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.