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Finding the Fourth Proportional to 2,139.32, 3,206.52 and 982.64

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Solution

The fourth proportional to 2,139.32, 3,206.52 and 982.64 is: 1,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.32 : 3,206.52 = 982.64 : x
  2. Step 2: Convert to fraction form
    2,139.32/3,206.52 = 982.64/x
  3. Step 3: Cross multiply
    2,139.32x = 3,206.52 × 982.64
  4. Step 4: Simplify right side
    2,139.32x = 3,150,854.81
  5. Step 5: Solve for x
    x = 3,150,854.81/2,139.32
  6. Step 6: Final answer
    x = 1,472.83

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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.