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Finding the Fourth Proportional to 2,139.56, 2,952.36 and 1,195.39

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Solution

The fourth proportional to 2,139.56, 2,952.36 and 1,195.39 is: 1,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.56 : 2,952.36 = 1,195.39 : x
  2. Step 2: Convert to fraction form
    2,139.56/2,952.36 = 1,195.39/x
  3. Step 3: Cross multiply
    2,139.56x = 2,952.36 × 1,195.39
  4. Step 4: Simplify right side
    2,139.56x = 3,529,224.55
  5. Step 5: Solve for x
    x = 3,529,224.55/2,139.56
  6. Step 6: Final answer
    x = 1,649.51

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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.