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Finding the Fourth Proportional to 2,765.44, 4,149.78 and 1,533.88

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Solution

The fourth proportional to 2,765.44, 4,149.78 and 1,533.88 is: 2,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.44 : 4,149.78 = 1,533.88 : x
  2. Step 2: Convert to fraction form
    2,765.44/4,149.78 = 1,533.88/x
  3. Step 3: Cross multiply
    2,765.44x = 4,149.78 × 1,533.88
  4. Step 4: Simplify right side
    2,765.44x = 6,365,264.55
  5. Step 5: Solve for x
    x = 6,365,264.55/2,765.44
  6. Step 6: Final answer
    x = 2,301.72

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