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Finding the Fourth Proportional to 2,765.76, 4,143.76 and 2,464.44

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Solution

The fourth proportional to 2,765.76, 4,143.76 and 2,464.44 is: 3,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.76 : 4,143.76 = 2,464.44 : x
  2. Step 2: Convert to fraction form
    2,765.76/4,143.76 = 2,464.44/x
  3. Step 3: Cross multiply
    2,765.76x = 4,143.76 × 2,464.44
  4. Step 4: Simplify right side
    2,765.76x = 10,212,047.89
  5. Step 5: Solve for x
    x = 10,212,047.89/2,765.76
  6. Step 6: Final answer
    x = 3,692.31

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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.