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Finding the Fourth Proportional to 2,645.38, 3,967.98 and 697.42

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Solution

The fourth proportional to 2,645.38, 3,967.98 and 697.42 is: 1,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.38 : 3,967.98 = 697.42 : x
  2. Step 2: Convert to fraction form
    2,645.38/3,967.98 = 697.42/x
  3. Step 3: Cross multiply
    2,645.38x = 3,967.98 × 697.42
  4. Step 4: Simplify right side
    2,645.38x = 2,767,348.61
  5. Step 5: Solve for x
    x = 2,767,348.61/2,645.38
  6. Step 6: Final answer
    x = 1,046.11

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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.