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Finding the Fourth Proportional to 2,549.40, 3,823.80 and 883.32

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Solution

The fourth proportional to 2,549.40, 3,823.80 and 883.32 is: 1,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.40 : 3,823.80 = 883.32 : x
  2. Step 2: Convert to fraction form
    2,549.40/3,823.80 = 883.32/x
  3. Step 3: Cross multiply
    2,549.40x = 3,823.80 × 883.32
  4. Step 4: Simplify right side
    2,549.40x = 3,377,639.02
  5. Step 5: Solve for x
    x = 3,377,639.02/2,549.40
  6. Step 6: Final answer
    x = 1,324.88

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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.