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Finding the Fourth Proportional to 2,187.96, 3,281.88 and 544.56

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Solution

The fourth proportional to 2,187.96, 3,281.88 and 544.56 is: 816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.96 : 3,281.88 = 544.56 : x
  2. Step 2: Convert to fraction form
    2,187.96/3,281.88 = 544.56/x
  3. Step 3: Cross multiply
    2,187.96x = 3,281.88 × 544.56
  4. Step 4: Simplify right side
    2,187.96x = 1,787,180.57
  5. Step 5: Solve for x
    x = 1,787,180.57/2,187.96
  6. Step 6: Final answer
    x = 816.83

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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.