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Finding the Fourth Proportional to 2,344.75, 3,517.04 and 589.77

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Solution

The fourth proportional to 2,344.75, 3,517.04 and 589.77 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.75 : 3,517.04 = 589.77 : x
  2. Step 2: Convert to fraction form
    2,344.75/3,517.04 = 589.77/x
  3. Step 3: Cross multiply
    2,344.75x = 3,517.04 × 589.77
  4. Step 4: Simplify right side
    2,344.75x = 2,074,241.73
  5. Step 5: Solve for x
    x = 2,074,241.73/2,344.75
  6. Step 6: Final answer
    x = 884.63

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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.