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Finding the Fourth Proportional to 2,043.67, 3,065.08 and 582.43

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Solution

The fourth proportional to 2,043.67, 3,065.08 and 582.43 is: 873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.67 : 3,065.08 = 582.43 : x
  2. Step 2: Convert to fraction form
    2,043.67/3,065.08 = 582.43/x
  3. Step 3: Cross multiply
    2,043.67x = 3,065.08 × 582.43
  4. Step 4: Simplify right side
    2,043.67x = 1,785,194.54
  5. Step 5: Solve for x
    x = 1,785,194.54/2,043.67
  6. Step 6: Final answer
    x = 873.52

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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.