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Finding the Fourth Proportional to 1,952.06, 2,929.62 and 857.18

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Solution

The fourth proportional to 1,952.06, 2,929.62 and 857.18 is: 1,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.06 : 2,929.62 = 857.18 : x
  2. Step 2: Convert to fraction form
    1,952.06/2,929.62 = 857.18/x
  3. Step 3: Cross multiply
    1,952.06x = 2,929.62 × 857.18
  4. Step 4: Simplify right side
    1,952.06x = 2,511,197.02
  5. Step 5: Solve for x
    x = 2,511,197.02/1,952.06
  6. Step 6: Final answer
    x = 1,286.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.