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Finding the Fourth Proportional to 2,187.74, 3,281.55 and 544.27

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Solution

The fourth proportional to 2,187.74, 3,281.55 and 544.27 is: 816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.74 : 3,281.55 = 544.27 : x
  2. Step 2: Convert to fraction form
    2,187.74/3,281.55 = 544.27/x
  3. Step 3: Cross multiply
    2,187.74x = 3,281.55 × 544.27
  4. Step 4: Simplify right side
    2,187.74x = 1,786,049.22
  5. Step 5: Solve for x
    x = 1,786,049.22/2,187.74
  6. Step 6: Final answer
    x = 816.39

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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.