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Finding the Fourth Proportional to 1,952.70, 2,695.06 and 1,167.18

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Solution

The fourth proportional to 1,952.70, 2,695.06 and 1,167.18 is: 1,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.70 : 2,695.06 = 1,167.18 : x
  2. Step 2: Convert to fraction form
    1,952.70/2,695.06 = 1,167.18/x
  3. Step 3: Cross multiply
    1,952.70x = 2,695.06 × 1,167.18
  4. Step 4: Simplify right side
    1,952.70x = 3,145,620.13
  5. Step 5: Solve for x
    x = 3,145,620.13/1,952.70
  6. Step 6: Final answer
    x = 1,610.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.