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Finding the Fourth Proportional to 3,113.67, 4,294.50 and 2,169.46

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Solution

The fourth proportional to 3,113.67, 4,294.50 and 2,169.46 is: 2,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.67 : 4,294.50 = 2,169.46 : x
  2. Step 2: Convert to fraction form
    3,113.67/4,294.50 = 2,169.46/x
  3. Step 3: Cross multiply
    3,113.67x = 4,294.50 × 2,169.46
  4. Step 4: Simplify right side
    3,113.67x = 9,316,743.20
  5. Step 5: Solve for x
    x = 9,316,743.20/3,113.67
  6. Step 6: Final answer
    x = 2,992.20

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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.