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Finding the Fourth Proportional to 1,172.78, 1,614.74 and 892.11

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Solution

The fourth proportional to 1,172.78, 1,614.74 and 892.11 is: 1,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.78 : 1,614.74 = 892.11 : x
  2. Step 2: Convert to fraction form
    1,172.78/1,614.74 = 892.11/x
  3. Step 3: Cross multiply
    1,172.78x = 1,614.74 × 892.11
  4. Step 4: Simplify right side
    1,172.78x = 1,440,527.30
  5. Step 5: Solve for x
    x = 1,440,527.30/1,172.78
  6. Step 6: Final answer
    x = 1,228.30

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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.