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Finding the Fourth Proportional to 2,116.80, 2,920.14 and 1,371.40

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Solution

The fourth proportional to 2,116.80, 2,920.14 and 1,371.40 is: 1,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.80 : 2,920.14 = 1,371.40 : x
  2. Step 2: Convert to fraction form
    2,116.80/2,920.14 = 1,371.40/x
  3. Step 3: Cross multiply
    2,116.80x = 2,920.14 × 1,371.40
  4. Step 4: Simplify right side
    2,116.80x = 4,004,672.70
  5. Step 5: Solve for x
    x = 4,004,672.70/2,116.80
  6. Step 6: Final answer
    x = 1,891.85

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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.