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Finding the Fourth Proportional to 2,187.59, 3,281.33 and 544.14

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Solution

The fourth proportional to 2,187.59, 3,281.33 and 544.14 is: 816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.59 : 3,281.33 = 544.14 : x
  2. Step 2: Convert to fraction form
    2,187.59/3,281.33 = 544.14/x
  3. Step 3: Cross multiply
    2,187.59x = 3,281.33 × 544.14
  4. Step 4: Simplify right side
    2,187.59x = 1,785,504.27
  5. Step 5: Solve for x
    x = 1,785,504.27/2,187.59
  6. Step 6: Final answer
    x = 816.20

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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.