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Finding the Fourth Proportional to 1,641.62, 2,462.12 and 545.84

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Solution

The fourth proportional to 1,641.62, 2,462.12 and 545.84 is: 818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.62 : 2,462.12 = 545.84 : x
  2. Step 2: Convert to fraction form
    1,641.62/2,462.12 = 545.84/x
  3. Step 3: Cross multiply
    1,641.62x = 2,462.12 × 545.84
  4. Step 4: Simplify right side
    1,641.62x = 1,343,923.58
  5. Step 5: Solve for x
    x = 1,343,923.58/1,641.62
  6. Step 6: Final answer
    x = 818.66

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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.