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Finding the Fourth Proportional to 2,342, 3,231.65 and 1,398.17

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Solution

The fourth proportional to 2,342, 3,231.65 and 1,398.17 is: 1,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342 : 3,231.65 = 1,398.17 : x
  2. Step 2: Convert to fraction form
    2,342/3,231.65 = 1,398.17/x
  3. Step 3: Cross multiply
    2,342x = 3,231.65 × 1,398.17
  4. Step 4: Simplify right side
    2,342x = 4,518,396.08
  5. Step 5: Solve for x
    x = 4,518,396.08/2,342
  6. Step 6: Final answer
    x = 1,929.29

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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.