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Finding the Fourth Proportional to 2,575.76, 3,863.78 and 727.02

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Solution

The fourth proportional to 2,575.76, 3,863.78 and 727.02 is: 1,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.76 : 3,863.78 = 727.02 : x
  2. Step 2: Convert to fraction form
    2,575.76/3,863.78 = 727.02/x
  3. Step 3: Cross multiply
    2,575.76x = 3,863.78 × 727.02
  4. Step 4: Simplify right side
    2,575.76x = 2,809,041.70
  5. Step 5: Solve for x
    x = 2,809,041.70/2,575.76
  6. Step 6: Final answer
    x = 1,090.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.