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Finding the Fourth Proportional to 2,167.19, 3,251.39 and 997.55

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Solution

The fourth proportional to 2,167.19, 3,251.39 and 997.55 is: 1,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.19 : 3,251.39 = 997.55 : x
  2. Step 2: Convert to fraction form
    2,167.19/3,251.39 = 997.55/x
  3. Step 3: Cross multiply
    2,167.19x = 3,251.39 × 997.55
  4. Step 4: Simplify right side
    2,167.19x = 3,243,420.65
  5. Step 5: Solve for x
    x = 3,243,420.65/2,167.19
  6. Step 6: Final answer
    x = 1,496.60

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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.