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Finding the Fourth Proportional to 2,139.46, 2,952.09 and 1,195.21

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Solution

The fourth proportional to 2,139.46, 2,952.09 and 1,195.21 is: 1,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.46 : 2,952.09 = 1,195.21 : x
  2. Step 2: Convert to fraction form
    2,139.46/2,952.09 = 1,195.21/x
  3. Step 3: Cross multiply
    2,139.46x = 2,952.09 × 1,195.21
  4. Step 4: Simplify right side
    2,139.46x = 3,528,367.49
  5. Step 5: Solve for x
    x = 3,528,367.49/2,139.46
  6. Step 6: Final answer
    x = 1,649.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.