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Finding the Fourth Proportional to 2,139.57, 2,952.38 and 1,195.18

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Solution

The fourth proportional to 2,139.57, 2,952.38 and 1,195.18 is: 1,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.57 : 2,952.38 = 1,195.18 : x
  2. Step 2: Convert to fraction form
    2,139.57/2,952.38 = 1,195.18/x
  3. Step 3: Cross multiply
    2,139.57x = 2,952.38 × 1,195.18
  4. Step 4: Simplify right side
    2,139.57x = 3,528,621.14
  5. Step 5: Solve for x
    x = 3,528,621.14/2,139.57
  6. Step 6: Final answer
    x = 1,649.22

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Why These Related Problems?

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