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Finding the Fourth Proportional to 1,482.86, 2,224.42 and 387.22

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Solution

The fourth proportional to 1,482.86, 2,224.42 and 387.22 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.86 : 2,224.42 = 387.22 : x
  2. Step 2: Convert to fraction form
    1,482.86/2,224.42 = 387.22/x
  3. Step 3: Cross multiply
    1,482.86x = 2,224.42 × 387.22
  4. Step 4: Simplify right side
    1,482.86x = 861,339.91
  5. Step 5: Solve for x
    x = 861,339.91/1,482.86
  6. Step 6: Final answer
    x = 580.86

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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.