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Finding the Fourth Proportional to 2,121.79, 2,928.14 and 1,238.17

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Solution

The fourth proportional to 2,121.79, 2,928.14 and 1,238.17 is: 1,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.79 : 2,928.14 = 1,238.17 : x
  2. Step 2: Convert to fraction form
    2,121.79/2,928.14 = 1,238.17/x
  3. Step 3: Cross multiply
    2,121.79x = 2,928.14 × 1,238.17
  4. Step 4: Simplify right side
    2,121.79x = 3,625,528.91
  5. Step 5: Solve for x
    x = 3,625,528.91/2,121.79
  6. Step 6: Final answer
    x = 1,708.71

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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.