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Finding the Fourth Proportional to 2,139.40, 3,206.53 and 969.96

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Solution

The fourth proportional to 2,139.40, 3,206.53 and 969.96 is: 1,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.40 : 3,206.53 = 969.96 : x
  2. Step 2: Convert to fraction form
    2,139.40/3,206.53 = 969.96/x
  3. Step 3: Cross multiply
    2,139.40x = 3,206.53 × 969.96
  4. Step 4: Simplify right side
    2,139.40x = 3,110,205.84
  5. Step 5: Solve for x
    x = 3,110,205.84/2,139.40
  6. Step 6: Final answer
    x = 1,453.77

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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.