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Finding the Fourth Proportional to 2,549.76, 3,824.75 and 883.89

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Solution

The fourth proportional to 2,549.76, 3,824.75 and 883.89 is: 1,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.76 : 3,824.75 = 883.89 : x
  2. Step 2: Convert to fraction form
    2,549.76/3,824.75 = 883.89/x
  3. Step 3: Cross multiply
    2,549.76x = 3,824.75 × 883.89
  4. Step 4: Simplify right side
    2,549.76x = 3,380,653.86
  5. Step 5: Solve for x
    x = 3,380,653.86/2,549.76
  6. Step 6: Final answer
    x = 1,325.87

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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.