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Finding the Fourth Proportional to 1,591.92, 2,196.88 and 883.80

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Solution

The fourth proportional to 1,591.92, 2,196.88 and 883.80 is: 1,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.92 : 2,196.88 = 883.80 : x
  2. Step 2: Convert to fraction form
    1,591.92/2,196.88 = 883.80/x
  3. Step 3: Cross multiply
    1,591.92x = 2,196.88 × 883.80
  4. Step 4: Simplify right side
    1,591.92x = 1,941,602.54
  5. Step 5: Solve for x
    x = 1,941,602.54/1,591.92
  6. Step 6: Final answer
    x = 1,219.66

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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.