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Finding the Fourth Proportional to 2,255.64, 3,337.44 and 2,249.16

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Solution

The fourth proportional to 2,255.64, 3,337.44 and 2,249.16 is: 3,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.64 : 3,337.44 = 2,249.16 : x
  2. Step 2: Convert to fraction form
    2,255.64/3,337.44 = 2,249.16/x
  3. Step 3: Cross multiply
    2,255.64x = 3,337.44 × 2,249.16
  4. Step 4: Simplify right side
    2,255.64x = 7,506,436.55
  5. Step 5: Solve for x
    x = 7,506,436.55/2,255.64
  6. Step 6: Final answer
    x = 3,327.85

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.