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Finding the Fourth Proportional to 2,302, 3,177.30 and 1,371.04

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Solution

The fourth proportional to 2,302, 3,177.30 and 1,371.04 is: 1,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302 : 3,177.30 = 1,371.04 : x
  2. Step 2: Convert to fraction form
    2,302/3,177.30 = 1,371.04/x
  3. Step 3: Cross multiply
    2,302x = 3,177.30 × 1,371.04
  4. Step 4: Simplify right side
    2,302x = 4,356,205.39
  5. Step 5: Solve for x
    x = 4,356,205.39/2,302
  6. Step 6: Final answer
    x = 1,892.36

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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.