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Finding the Fourth Proportional to 2,462.14, 3,398.12 and 1,468

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Solution

The fourth proportional to 2,462.14, 3,398.12 and 1,468 is: 2,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.14 : 3,398.12 = 1,468 : x
  2. Step 2: Convert to fraction form
    2,462.14/3,398.12 = 1,468/x
  3. Step 3: Cross multiply
    2,462.14x = 3,398.12 × 1,468
  4. Step 4: Simplify right side
    2,462.14x = 4,988,432.82
  5. Step 5: Solve for x
    x = 4,988,432.82/2,462.14
  6. Step 6: Final answer
    x = 2,026.06

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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.