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Finding the Fourth Proportional to 2,342.02, 3,231.86 and 1,398.88

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Solution

The fourth proportional to 2,342.02, 3,231.86 and 1,398.88 is: 1,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.02 : 3,231.86 = 1,398.88 : x
  2. Step 2: Convert to fraction form
    2,342.02/3,231.86 = 1,398.88/x
  3. Step 3: Cross multiply
    2,342.02x = 3,231.86 × 1,398.88
  4. Step 4: Simplify right side
    2,342.02x = 4,520,984.32
  5. Step 5: Solve for x
    x = 4,520,984.32/2,342.02
  6. Step 6: Final answer
    x = 1,930.38

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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.