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Finding the Fourth Proportional to 1,545.62, 2,316.61 and 814.19

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Solution

The fourth proportional to 1,545.62, 2,316.61 and 814.19 is: 1,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.62 : 2,316.61 = 814.19 : x
  2. Step 2: Convert to fraction form
    1,545.62/2,316.61 = 814.19/x
  3. Step 3: Cross multiply
    1,545.62x = 2,316.61 × 814.19
  4. Step 4: Simplify right side
    1,545.62x = 1,886,164.45
  5. Step 5: Solve for x
    x = 1,886,164.45/1,545.62
  6. Step 6: Final answer
    x = 1,220.33

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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.