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Finding the Fourth Proportional to 2,545.70, 3,815.36 and 1,375.66

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Solution

The fourth proportional to 2,545.70, 3,815.36 and 1,375.66 is: 2,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.70 : 3,815.36 = 1,375.66 : x
  2. Step 2: Convert to fraction form
    2,545.70/3,815.36 = 1,375.66/x
  3. Step 3: Cross multiply
    2,545.70x = 3,815.36 × 1,375.66
  4. Step 4: Simplify right side
    2,545.70x = 5,248,638.14
  5. Step 5: Solve for x
    x = 5,248,638.14/2,545.70
  6. Step 6: Final answer
    x = 2,061.77

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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.