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Finding the Fourth Proportional to 3,137.76, 4,331.44 and 2,255.84

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Solution

The fourth proportional to 3,137.76, 4,331.44 and 2,255.84 is: 3,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.76 : 4,331.44 = 2,255.84 : x
  2. Step 2: Convert to fraction form
    3,137.76/4,331.44 = 2,255.84/x
  3. Step 3: Cross multiply
    3,137.76x = 4,331.44 × 2,255.84
  4. Step 4: Simplify right side
    3,137.76x = 9,771,035.61
  5. Step 5: Solve for x
    x = 9,771,035.61/3,137.76
  6. Step 6: Final answer
    x = 3,114.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.