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Finding the Fourth Proportional to 2,139.11, 3,209.69 and 969.94

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Solution

The fourth proportional to 2,139.11, 3,209.69 and 969.94 is: 1,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.11 : 3,209.69 = 969.94 : x
  2. Step 2: Convert to fraction form
    2,139.11/3,209.69 = 969.94/x
  3. Step 3: Cross multiply
    2,139.11x = 3,209.69 × 969.94
  4. Step 4: Simplify right side
    2,139.11x = 3,113,206.72
  5. Step 5: Solve for x
    x = 3,113,206.72/2,139.11
  6. Step 6: Final answer
    x = 1,455.37

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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.