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Finding the Fourth Proportional to 2,711.35, 3,741.51 and 1,532.44

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Solution

The fourth proportional to 2,711.35, 3,741.51 and 1,532.44 is: 2,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.35 : 3,741.51 = 1,532.44 : x
  2. Step 2: Convert to fraction form
    2,711.35/3,741.51 = 1,532.44/x
  3. Step 3: Cross multiply
    2,711.35x = 3,741.51 × 1,532.44
  4. Step 4: Simplify right side
    2,711.35x = 5,733,639.58
  5. Step 5: Solve for x
    x = 5,733,639.58/2,711.35
  6. Step 6: Final answer
    x = 2,114.68

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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.