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Finding the Fourth Proportional to 1,545.72, 2,317.46 and 505.40

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Solution

The fourth proportional to 1,545.72, 2,317.46 and 505.40 is: 757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.72 : 2,317.46 = 505.40 : x
  2. Step 2: Convert to fraction form
    1,545.72/2,317.46 = 505.40/x
  3. Step 3: Cross multiply
    1,545.72x = 2,317.46 × 505.40
  4. Step 4: Simplify right side
    1,545.72x = 1,171,230.17
  5. Step 5: Solve for x
    x = 1,171,230.17/1,545.72
  6. Step 6: Final answer
    x = 757.72

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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.