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Finding the Fourth Proportional to 2,545.78, 3,513.01 and 1,411.38

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Solution

The fourth proportional to 2,545.78, 3,513.01 and 1,411.38 is: 1,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.78 : 3,513.01 = 1,411.38 : x
  2. Step 2: Convert to fraction form
    2,545.78/3,513.01 = 1,411.38/x
  3. Step 3: Cross multiply
    2,545.78x = 3,513.01 × 1,411.38
  4. Step 4: Simplify right side
    2,545.78x = 4,958,192.05
  5. Step 5: Solve for x
    x = 4,958,192.05/2,545.78
  6. Step 6: Final answer
    x = 1,947.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.