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Finding the Fourth Proportional to 2,149.39, 3,224.17 and 589.35

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Solution

The fourth proportional to 2,149.39, 3,224.17 and 589.35 is: 884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.39 : 3,224.17 = 589.35 : x
  2. Step 2: Convert to fraction form
    2,149.39/3,224.17 = 589.35/x
  3. Step 3: Cross multiply
    2,149.39x = 3,224.17 × 589.35
  4. Step 4: Simplify right side
    2,149.39x = 1,900,168.35
  5. Step 5: Solve for x
    x = 1,900,168.35/2,149.39
  6. Step 6: Final answer
    x = 884.05

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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.