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Finding the Fourth Proportional to 2,139.74, 2,948.26 and 1,439.90

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Solution

The fourth proportional to 2,139.74, 2,948.26 and 1,439.90 is: 1,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.74 : 2,948.26 = 1,439.90 : x
  2. Step 2: Convert to fraction form
    2,139.74/2,948.26 = 1,439.90/x
  3. Step 3: Cross multiply
    2,139.74x = 2,948.26 × 1,439.90
  4. Step 4: Simplify right side
    2,139.74x = 4,245,199.57
  5. Step 5: Solve for x
    x = 4,245,199.57/2,139.74
  6. Step 6: Final answer
    x = 1,983.98

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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.