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Finding the Fourth Proportional to 3,400.40, 4,690.68 and 2,002.88

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Solution

The fourth proportional to 3,400.40, 4,690.68 and 2,002.88 is: 2,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.40 : 4,690.68 = 2,002.88 : x
  2. Step 2: Convert to fraction form
    3,400.40/4,690.68 = 2,002.88/x
  3. Step 3: Cross multiply
    3,400.40x = 4,690.68 × 2,002.88
  4. Step 4: Simplify right side
    3,400.40x = 9,394,869.16
  5. Step 5: Solve for x
    x = 9,394,869.16/3,400.40
  6. Step 6: Final answer
    x = 2,762.87

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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.