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Finding the Fourth Proportional to 1,545.15, 2,318.13 and 449.49

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Solution

The fourth proportional to 1,545.15, 2,318.13 and 449.49 is: 674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.15 : 2,318.13 = 449.49 : x
  2. Step 2: Convert to fraction form
    1,545.15/2,318.13 = 449.49/x
  3. Step 3: Cross multiply
    1,545.15x = 2,318.13 × 449.49
  4. Step 4: Simplify right side
    1,545.15x = 1,041,976.25
  5. Step 5: Solve for x
    x = 1,041,976.25/1,545.15
  6. Step 6: Final answer
    x = 674.35

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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.