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Finding the Fourth Proportional to 1,545.38, 2,132.68 and 846.76

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Solution

The fourth proportional to 1,545.38, 2,132.68 and 846.76 is: 1,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.38 : 2,132.68 = 846.76 : x
  2. Step 2: Convert to fraction form
    1,545.38/2,132.68 = 846.76/x
  3. Step 3: Cross multiply
    1,545.38x = 2,132.68 × 846.76
  4. Step 4: Simplify right side
    1,545.38x = 1,805,855.34
  5. Step 5: Solve for x
    x = 1,805,855.34/1,545.38
  6. Step 6: Final answer
    x = 1,168.55

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1.5x scale

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.