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Finding the Fourth Proportional to 1,545.29, 2,318.45 and 814.67

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Solution

The fourth proportional to 1,545.29, 2,318.45 and 814.67 is: 1,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.29 : 2,318.45 = 814.67 : x
  2. Step 2: Convert to fraction form
    1,545.29/2,318.45 = 814.67/x
  3. Step 3: Cross multiply
    1,545.29x = 2,318.45 × 814.67
  4. Step 4: Simplify right side
    1,545.29x = 1,888,771.66
  5. Step 5: Solve for x
    x = 1,888,771.66/1,545.29
  6. Step 6: Final answer
    x = 1,222.28

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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.