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Finding the Fourth Proportional to 2,773.17, 4,159.71 and 825.30

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Solution

The fourth proportional to 2,773.17, 4,159.71 and 825.30 is: 1,237.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.17 : 4,159.71 = 825.30 : x
  2. Step 2: Convert to fraction form
    2,773.17/4,159.71 = 825.30/x
  3. Step 3: Cross multiply
    2,773.17x = 4,159.71 × 825.30
  4. Step 4: Simplify right side
    2,773.17x = 3,433,008.66
  5. Step 5: Solve for x
    x = 3,433,008.66/2,773.17
  6. Step 6: Final answer
    x = 1,237.94

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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.