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Finding the Fourth Proportional to 3,292.48, 4,543.05 and 1,966.11

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Solution

The fourth proportional to 3,292.48, 4,543.05 and 1,966.11 is: 2,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.48 : 4,543.05 = 1,966.11 : x
  2. Step 2: Convert to fraction form
    3,292.48/4,543.05 = 1,966.11/x
  3. Step 3: Cross multiply
    3,292.48x = 4,543.05 × 1,966.11
  4. Step 4: Simplify right side
    3,292.48x = 8,932,136.04
  5. Step 5: Solve for x
    x = 8,932,136.04/3,292.48
  6. Step 6: Final answer
    x = 2,712.89

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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.