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Finding the Fourth Proportional to 2,037.65, 3,057.02 and 867.71

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Solution

The fourth proportional to 2,037.65, 3,057.02 and 867.71 is: 1,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.65 : 3,057.02 = 867.71 : x
  2. Step 2: Convert to fraction form
    2,037.65/3,057.02 = 867.71/x
  3. Step 3: Cross multiply
    2,037.65x = 3,057.02 × 867.71
  4. Step 4: Simplify right side
    2,037.65x = 2,652,593.71
  5. Step 5: Solve for x
    x = 2,652,593.71/2,037.65
  6. Step 6: Final answer
    x = 1,301.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.