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Finding the Fourth Proportional to 1,591.27, 2,195.95 and 883.09

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Solution

The fourth proportional to 1,591.27, 2,195.95 and 883.09 is: 1,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.27 : 2,195.95 = 883.09 : x
  2. Step 2: Convert to fraction form
    1,591.27/2,195.95 = 883.09/x
  3. Step 3: Cross multiply
    1,591.27x = 2,195.95 × 883.09
  4. Step 4: Simplify right side
    1,591.27x = 1,939,213.79
  5. Step 5: Solve for x
    x = 1,939,213.79/1,591.27
  6. Step 6: Final answer
    x = 1,218.66

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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.