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Finding the Fourth Proportional to 3,166.43, 4,370.76 and 2,174.99

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Solution

The fourth proportional to 3,166.43, 4,370.76 and 2,174.99 is: 3,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.43 : 4,370.76 = 2,174.99 : x
  2. Step 2: Convert to fraction form
    3,166.43/4,370.76 = 2,174.99/x
  3. Step 3: Cross multiply
    3,166.43x = 4,370.76 × 2,174.99
  4. Step 4: Simplify right side
    3,166.43x = 9,506,337.44
  5. Step 5: Solve for x
    x = 9,506,337.44/3,166.43
  6. Step 6: Final answer
    x = 3,002.23

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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.