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Finding the Fourth Proportional to 1,952.98, 2,695.15 and 1,167.02

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Solution

The fourth proportional to 1,952.98, 2,695.15 and 1,167.02 is: 1,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.98 : 2,695.15 = 1,167.02 : x
  2. Step 2: Convert to fraction form
    1,952.98/2,695.15 = 1,167.02/x
  3. Step 3: Cross multiply
    1,952.98x = 2,695.15 × 1,167.02
  4. Step 4: Simplify right side
    1,952.98x = 3,145,297.77
  5. Step 5: Solve for x
    x = 3,145,297.77/1,952.98
  6. Step 6: Final answer
    x = 1,610.51

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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.