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Finding the Fourth Proportional to 1,641.28, 2,462.64 and 545.80

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Solution

The fourth proportional to 1,641.28, 2,462.64 and 545.80 is: 818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.28 : 2,462.64 = 545.80 : x
  2. Step 2: Convert to fraction form
    1,641.28/2,462.64 = 545.80/x
  3. Step 3: Cross multiply
    1,641.28x = 2,462.64 × 545.80
  4. Step 4: Simplify right side
    1,641.28x = 1,344,108.91
  5. Step 5: Solve for x
    x = 1,344,108.91/1,641.28
  6. Step 6: Final answer
    x = 818.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.