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Finding the Fourth Proportional to 1,952.76, 2,694.30 and 1,167

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Solution

The fourth proportional to 1,952.76, 2,694.30 and 1,167 is: 1,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.76 : 2,694.30 = 1,167 : x
  2. Step 2: Convert to fraction form
    1,952.76/2,694.30 = 1,167/x
  3. Step 3: Cross multiply
    1,952.76x = 2,694.30 × 1,167
  4. Step 4: Simplify right side
    1,952.76x = 3,144,248.10
  5. Step 5: Solve for x
    x = 3,144,248.10/1,952.76
  6. Step 6: Final answer
    x = 1,610.16

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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.