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Finding the Fourth Proportional to 1,591.36, 2,196.12 and 892.80

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Solution

The fourth proportional to 1,591.36, 2,196.12 and 892.80 is: 1,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.36 : 2,196.12 = 892.80 : x
  2. Step 2: Convert to fraction form
    1,591.36/2,196.12 = 892.80/x
  3. Step 3: Cross multiply
    1,591.36x = 2,196.12 × 892.80
  4. Step 4: Simplify right side
    1,591.36x = 1,960,695.94
  5. Step 5: Solve for x
    x = 1,960,695.94/1,591.36
  6. Step 6: Final answer
    x = 1,232.09

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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.