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Finding the Fourth Proportional to 2,772.56, 4,132 and 2,749.52

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Solution

The fourth proportional to 2,772.56, 4,132 and 2,749.52 is: 4,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 4,132 = 2,749.52 : x
  2. Step 2: Convert to fraction form
    2,772.56/4,132 = 2,749.52/x
  3. Step 3: Cross multiply
    2,772.56x = 4,132 × 2,749.52
  4. Step 4: Simplify right side
    2,772.56x = 11,361,016.64
  5. Step 5: Solve for x
    x = 11,361,016.64/2,772.56
  6. Step 6: Final answer
    x = 4,097.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.