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Finding the Fourth Proportional to 1,545.65, 2,132.98 and 837.48

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Solution

The fourth proportional to 1,545.65, 2,132.98 and 837.48 is: 1,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.65 : 2,132.98 = 837.48 : x
  2. Step 2: Convert to fraction form
    1,545.65/2,132.98 = 837.48/x
  3. Step 3: Cross multiply
    1,545.65x = 2,132.98 × 837.48
  4. Step 4: Simplify right side
    1,545.65x = 1,786,326.71
  5. Step 5: Solve for x
    x = 1,786,326.71/1,545.65
  6. Step 6: Final answer
    x = 1,155.71

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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.