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Finding the Fourth Proportional to 2,152.44, 3,214.71 and 2,138.49

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Solution

The fourth proportional to 2,152.44, 3,214.71 and 2,138.49 is: 3,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.44 : 3,214.71 = 2,138.49 : x
  2. Step 2: Convert to fraction form
    2,152.44/3,214.71 = 2,138.49/x
  3. Step 3: Cross multiply
    2,152.44x = 3,214.71 × 2,138.49
  4. Step 4: Simplify right side
    2,152.44x = 6,874,625.19
  5. Step 5: Solve for x
    x = 6,874,625.19/2,152.44
  6. Step 6: Final answer
    x = 3,193.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.