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Finding the Fourth Proportional to 2,189.31, 3,283.96 and 545.86

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Solution

The fourth proportional to 2,189.31, 3,283.96 and 545.86 is: 818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.31 : 3,283.96 = 545.86 : x
  2. Step 2: Convert to fraction form
    2,189.31/3,283.96 = 545.86/x
  3. Step 3: Cross multiply
    2,189.31x = 3,283.96 × 545.86
  4. Step 4: Simplify right side
    2,189.31x = 1,792,582.41
  5. Step 5: Solve for x
    x = 1,792,582.41/2,189.31
  6. Step 6: Final answer
    x = 818.79

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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.