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Finding the Fourth Proportional to 2,139.68, 2,951.39 and 1,384.44

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Solution

The fourth proportional to 2,139.68, 2,951.39 and 1,384.44 is: 1,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.68 : 2,951.39 = 1,384.44 : x
  2. Step 2: Convert to fraction form
    2,139.68/2,951.39 = 1,384.44/x
  3. Step 3: Cross multiply
    2,139.68x = 2,951.39 × 1,384.44
  4. Step 4: Simplify right side
    2,139.68x = 4,086,015.45
  5. Step 5: Solve for x
    x = 4,086,015.45/2,139.68
  6. Step 6: Final answer
    x = 1,909.64

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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.