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Finding the Fourth Proportional to 2,139.80, 3,208.62 and 1,358.44

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Solution

The fourth proportional to 2,139.80, 3,208.62 and 1,358.44 is: 2,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.80 : 3,208.62 = 1,358.44 : x
  2. Step 2: Convert to fraction form
    2,139.80/3,208.62 = 1,358.44/x
  3. Step 3: Cross multiply
    2,139.80x = 3,208.62 × 1,358.44
  4. Step 4: Simplify right side
    2,139.80x = 4,358,717.75
  5. Step 5: Solve for x
    x = 4,358,717.75/2,139.80
  6. Step 6: Final answer
    x = 2,036.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.