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Finding the Fourth Proportional to 2,827.71, 4,233.74 and 2,132.24

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Solution

The fourth proportional to 2,827.71, 4,233.74 and 2,132.24 is: 3,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.71 : 4,233.74 = 2,132.24 : x
  2. Step 2: Convert to fraction form
    2,827.71/4,233.74 = 2,132.24/x
  3. Step 3: Cross multiply
    2,827.71x = 4,233.74 × 2,132.24
  4. Step 4: Simplify right side
    2,827.71x = 9,027,317.95
  5. Step 5: Solve for x
    x = 9,027,317.95/2,827.71
  6. Step 6: Final answer
    x = 3,192.45

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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.