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Finding the Fourth Proportional to 1,545.92, 2,305.09 and 1,374.20

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Solution

The fourth proportional to 1,545.92, 2,305.09 and 1,374.20 is: 2,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.92 : 2,305.09 = 1,374.20 : x
  2. Step 2: Convert to fraction form
    1,545.92/2,305.09 = 1,374.20/x
  3. Step 3: Cross multiply
    1,545.92x = 2,305.09 × 1,374.20
  4. Step 4: Simplify right side
    1,545.92x = 3,167,665.59
  5. Step 5: Solve for x
    x = 3,167,665.59/1,545.92
  6. Step 6: Final answer
    x = 2,049.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.