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Finding the Fourth Proportional to 3,291.90, 4,543.17 and 1,966.34

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Solution

The fourth proportional to 3,291.90, 4,543.17 and 1,966.34 is: 2,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.90 : 4,543.17 = 1,966.34 : x
  2. Step 2: Convert to fraction form
    3,291.90/4,543.17 = 1,966.34/x
  3. Step 3: Cross multiply
    3,291.90x = 4,543.17 × 1,966.34
  4. Step 4: Simplify right side
    3,291.90x = 8,933,394.18
  5. Step 5: Solve for x
    x = 8,933,394.18/3,291.90
  6. Step 6: Final answer
    x = 2,713.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.