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Finding the Fourth Proportional to 1,591.92, 2,196.98 and 883.83

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Solution

The fourth proportional to 1,591.92, 2,196.98 and 883.83 is: 1,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.92 : 2,196.98 = 883.83 : x
  2. Step 2: Convert to fraction form
    1,591.92/2,196.98 = 883.83/x
  3. Step 3: Cross multiply
    1,591.92x = 2,196.98 × 883.83
  4. Step 4: Simplify right side
    1,591.92x = 1,941,756.83
  5. Step 5: Solve for x
    x = 1,941,756.83/1,591.92
  6. Step 6: Final answer
    x = 1,219.76

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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.