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Finding the Fourth Proportional to 2,288, 3,156.38 and 1,343.49

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Solution

The fourth proportional to 2,288, 3,156.38 and 1,343.49 is: 1,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288 : 3,156.38 = 1,343.49 : x
  2. Step 2: Convert to fraction form
    2,288/3,156.38 = 1,343.49/x
  3. Step 3: Cross multiply
    2,288x = 3,156.38 × 1,343.49
  4. Step 4: Simplify right side
    2,288x = 4,240,564.97
  5. Step 5: Solve for x
    x = 4,240,564.97/2,288
  6. Step 6: Final answer
    x = 1,853.39

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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.