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Finding the Fourth Proportional to 2,711.48, 3,741.22 and 1,591.99

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Solution

The fourth proportional to 2,711.48, 3,741.22 and 1,591.99 is: 2,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.48 : 3,741.22 = 1,591.99 : x
  2. Step 2: Convert to fraction form
    2,711.48/3,741.22 = 1,591.99/x
  3. Step 3: Cross multiply
    2,711.48x = 3,741.22 × 1,591.99
  4. Step 4: Simplify right side
    2,711.48x = 5,955,977.46
  5. Step 5: Solve for x
    x = 5,955,977.46/2,711.48
  6. Step 6: Final answer
    x = 2,196.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.