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Finding the Fourth Proportional to 2,331, 3,496.86 and 1,357.56

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Solution

The fourth proportional to 2,331, 3,496.86 and 1,357.56 is: 2,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331 : 3,496.86 = 1,357.56 : x
  2. Step 2: Convert to fraction form
    2,331/3,496.86 = 1,357.56/x
  3. Step 3: Cross multiply
    2,331x = 3,496.86 × 1,357.56
  4. Step 4: Simplify right side
    2,331x = 4,747,197.26
  5. Step 5: Solve for x
    x = 4,747,197.26/2,331
  6. Step 6: Final answer
    x = 2,036.55

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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.