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Finding the Fourth Proportional to 2,840.76, 4,261.85 and 2,257.96

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Solution

The fourth proportional to 2,840.76, 4,261.85 and 2,257.96 is: 3,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.76 : 4,261.85 = 2,257.96 : x
  2. Step 2: Convert to fraction form
    2,840.76/4,261.85 = 2,257.96/x
  3. Step 3: Cross multiply
    2,840.76x = 4,261.85 × 2,257.96
  4. Step 4: Simplify right side
    2,840.76x = 9,623,086.83
  5. Step 5: Solve for x
    x = 9,623,086.83/2,840.76
  6. Step 6: Final answer
    x = 3,387.50

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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.