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Finding the Fourth Proportional to 2,147.23, 3,220.32 and 587.24

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Solution

The fourth proportional to 2,147.23, 3,220.32 and 587.24 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.23 : 3,220.32 = 587.24 : x
  2. Step 2: Convert to fraction form
    2,147.23/3,220.32 = 587.24/x
  3. Step 3: Cross multiply
    2,147.23x = 3,220.32 × 587.24
  4. Step 4: Simplify right side
    2,147.23x = 1,891,081.68
  5. Step 5: Solve for x
    x = 1,891,081.68/2,147.23
  6. Step 6: Final answer
    x = 880.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.