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Finding the Fourth Proportional to 2,398.68, 3,600.12 and 1,167

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Solution

The fourth proportional to 2,398.68, 3,600.12 and 1,167 is: 1,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.68 : 3,600.12 = 1,167 : x
  2. Step 2: Convert to fraction form
    2,398.68/3,600.12 = 1,167/x
  3. Step 3: Cross multiply
    2,398.68x = 3,600.12 × 1,167
  4. Step 4: Simplify right side
    2,398.68x = 4,201,340.04
  5. Step 5: Solve for x
    x = 4,201,340.04/2,398.68
  6. Step 6: Final answer
    x = 1,751.52

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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.