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Finding the Fourth Proportional to 2,172.79, 3,257.17 and 1,184.14

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Solution

The fourth proportional to 2,172.79, 3,257.17 and 1,184.14 is: 1,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.79 : 3,257.17 = 1,184.14 : x
  2. Step 2: Convert to fraction form
    2,172.79/3,257.17 = 1,184.14/x
  3. Step 3: Cross multiply
    2,172.79x = 3,257.17 × 1,184.14
  4. Step 4: Simplify right side
    2,172.79x = 3,856,945.28
  5. Step 5: Solve for x
    x = 3,856,945.28/2,172.79
  6. Step 6: Final answer
    x = 1,775.11

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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.