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Finding the Fourth Proportional to 1,545.47, 2,132.70 and 846.85

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Solution

The fourth proportional to 1,545.47, 2,132.70 and 846.85 is: 1,168.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.47 : 2,132.70 = 846.85 : x
  2. Step 2: Convert to fraction form
    1,545.47/2,132.70 = 846.85/x
  3. Step 3: Cross multiply
    1,545.47x = 2,132.70 × 846.85
  4. Step 4: Simplify right side
    1,545.47x = 1,806,077.00
  5. Step 5: Solve for x
    x = 1,806,077.00/1,545.47
  6. Step 6: Final answer
    x = 1,168.63

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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.