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Finding the Fourth Proportional to 2,139.48, 3,209.22 and 986.04

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Solution

The fourth proportional to 2,139.48, 3,209.22 and 986.04 is: 1,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.48 : 3,209.22 = 986.04 : x
  2. Step 2: Convert to fraction form
    2,139.48/3,209.22 = 986.04/x
  3. Step 3: Cross multiply
    2,139.48x = 3,209.22 × 986.04
  4. Step 4: Simplify right side
    2,139.48x = 3,164,419.29
  5. Step 5: Solve for x
    x = 3,164,419.29/2,139.48
  6. Step 6: Final answer
    x = 1,479.06

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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.