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Finding the Fourth Proportional to 1,545.23, 2,318.06 and 449.45

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Solution

The fourth proportional to 1,545.23, 2,318.06 and 449.45 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.23 : 2,318.06 = 449.45 : x
  2. Step 2: Convert to fraction form
    1,545.23/2,318.06 = 449.45/x
  3. Step 3: Cross multiply
    1,545.23x = 2,318.06 × 449.45
  4. Step 4: Simplify right side
    1,545.23x = 1,041,841.60
  5. Step 5: Solve for x
    x = 1,041,841.60/1,545.23
  6. Step 6: Final answer
    x = 674.23

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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.