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Finding the Fourth Proportional to 2,339.34, 3,227.88 and 1,344.66

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Solution

The fourth proportional to 2,339.34, 3,227.88 and 1,344.66 is: 1,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.34 : 3,227.88 = 1,344.66 : x
  2. Step 2: Convert to fraction form
    2,339.34/3,227.88 = 1,344.66/x
  3. Step 3: Cross multiply
    2,339.34x = 3,227.88 × 1,344.66
  4. Step 4: Simplify right side
    2,339.34x = 4,340,401.12
  5. Step 5: Solve for x
    x = 4,340,401.12/2,339.34
  6. Step 6: Final answer
    x = 1,855.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.