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Finding the Fourth Proportional to 2,711.34, 3,741.75 and 1,532.34

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Solution

The fourth proportional to 2,711.34, 3,741.75 and 1,532.34 is: 2,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.34 : 3,741.75 = 1,532.34 : x
  2. Step 2: Convert to fraction form
    2,711.34/3,741.75 = 1,532.34/x
  3. Step 3: Cross multiply
    2,711.34x = 3,741.75 × 1,532.34
  4. Step 4: Simplify right side
    2,711.34x = 5,733,633.20
  5. Step 5: Solve for x
    x = 5,733,633.20/2,711.34
  6. Step 6: Final answer
    x = 2,114.69

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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.