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Finding the Fourth Proportional to 1,438.79, 2,167.22 and 1,309.61

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Solution

The fourth proportional to 1,438.79, 2,167.22 and 1,309.61 is: 1,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.79 : 2,167.22 = 1,309.61 : x
  2. Step 2: Convert to fraction form
    1,438.79/2,167.22 = 1,309.61/x
  3. Step 3: Cross multiply
    1,438.79x = 2,167.22 × 1,309.61
  4. Step 4: Simplify right side
    1,438.79x = 2,838,195.60
  5. Step 5: Solve for x
    x = 2,838,195.60/1,438.79
  6. Step 6: Final answer
    x = 1,972.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.