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Finding the Fourth Proportional to 2,139.17, 2,952.02 and 1,194.97

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Solution

The fourth proportional to 2,139.17, 2,952.02 and 1,194.97 is: 1,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.17 : 2,952.02 = 1,194.97 : x
  2. Step 2: Convert to fraction form
    2,139.17/2,952.02 = 1,194.97/x
  3. Step 3: Cross multiply
    2,139.17x = 2,952.02 × 1,194.97
  4. Step 4: Simplify right side
    2,139.17x = 3,527,569.36
  5. Step 5: Solve for x
    x = 3,527,569.36/2,139.17
  6. Step 6: Final answer
    x = 1,649.04

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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.