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Finding the Fourth Proportional to 1,545.73, 2,317.98 and 896.92

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Solution

The fourth proportional to 1,545.73, 2,317.98 and 896.92 is: 1,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.73 : 2,317.98 = 896.92 : x
  2. Step 2: Convert to fraction form
    1,545.73/2,317.98 = 896.92/x
  3. Step 3: Cross multiply
    1,545.73x = 2,317.98 × 896.92
  4. Step 4: Simplify right side
    1,545.73x = 2,079,042.62
  5. Step 5: Solve for x
    x = 2,079,042.62/1,545.73
  6. Step 6: Final answer
    x = 1,345.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.