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Finding the Fourth Proportional to 2,139.57, 3,206.88 and 982.89

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Solution

The fourth proportional to 2,139.57, 3,206.88 and 982.89 is: 1,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.57 : 3,206.88 = 982.89 : x
  2. Step 2: Convert to fraction form
    2,139.57/3,206.88 = 982.89/x
  3. Step 3: Cross multiply
    2,139.57x = 3,206.88 × 982.89
  4. Step 4: Simplify right side
    2,139.57x = 3,152,010.28
  5. Step 5: Solve for x
    x = 3,152,010.28/2,139.57
  6. Step 6: Final answer
    x = 1,473.20

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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.