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Finding the Fourth Proportional to 2,002.38, 3,007.90 and 1,694.84

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Solution

The fourth proportional to 2,002.38, 3,007.90 and 1,694.84 is: 2,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.38 : 3,007.90 = 1,694.84 : x
  2. Step 2: Convert to fraction form
    2,002.38/3,007.90 = 1,694.84/x
  3. Step 3: Cross multiply
    2,002.38x = 3,007.90 × 1,694.84
  4. Step 4: Simplify right side
    2,002.38x = 5,097,909.24
  5. Step 5: Solve for x
    x = 5,097,909.24/2,002.38
  6. Step 6: Final answer
    x = 2,545.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.