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Finding the Fourth Proportional to 2,139.40, 3,209.41 and 969.80

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Solution

The fourth proportional to 2,139.40, 3,209.41 and 969.80 is: 1,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.40 : 3,209.41 = 969.80 : x
  2. Step 2: Convert to fraction form
    2,139.40/3,209.41 = 969.80/x
  3. Step 3: Cross multiply
    2,139.40x = 3,209.41 × 969.80
  4. Step 4: Simplify right side
    2,139.40x = 3,112,485.82
  5. Step 5: Solve for x
    x = 3,112,485.82/2,139.40
  6. Step 6: Final answer
    x = 1,454.84

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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.