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Finding the Fourth Proportional to 2,711.85, 3,741.94 and 1,532.49

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Solution

The fourth proportional to 2,711.85, 3,741.94 and 1,532.49 is: 2,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.85 : 3,741.94 = 1,532.49 : x
  2. Step 2: Convert to fraction form
    2,711.85/3,741.94 = 1,532.49/x
  3. Step 3: Cross multiply
    2,711.85x = 3,741.94 × 1,532.49
  4. Step 4: Simplify right side
    2,711.85x = 5,734,485.63
  5. Step 5: Solve for x
    x = 5,734,485.63/2,711.85
  6. Step 6: Final answer
    x = 2,114.60

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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.