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Finding the Fourth Proportional to 2,727.87, 3,764.16 and 1,532.63

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Solution

The fourth proportional to 2,727.87, 3,764.16 and 1,532.63 is: 2,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.87 : 3,764.16 = 1,532.63 : x
  2. Step 2: Convert to fraction form
    2,727.87/3,764.16 = 1,532.63/x
  3. Step 3: Cross multiply
    2,727.87x = 3,764.16 × 1,532.63
  4. Step 4: Simplify right side
    2,727.87x = 5,769,045.72
  5. Step 5: Solve for x
    x = 5,769,045.72/2,727.87
  6. Step 6: Final answer
    x = 2,114.85

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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.