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Finding the Fourth Proportional to 2,121.86, 3,182.42 and 582.50

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Solution

The fourth proportional to 2,121.86, 3,182.42 and 582.50 is: 873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.86 : 3,182.42 = 582.50 : x
  2. Step 2: Convert to fraction form
    2,121.86/3,182.42 = 582.50/x
  3. Step 3: Cross multiply
    2,121.86x = 3,182.42 × 582.50
  4. Step 4: Simplify right side
    2,121.86x = 1,853,759.65
  5. Step 5: Solve for x
    x = 1,853,759.65/2,121.86
  6. Step 6: Final answer
    x = 873.65

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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.