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Finding the Fourth Proportional to 2,138.60, 3,207.54 and 678.09

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Solution

The fourth proportional to 2,138.60, 3,207.54 and 678.09 is: 1,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.60 : 3,207.54 = 678.09 : x
  2. Step 2: Convert to fraction form
    2,138.60/3,207.54 = 678.09/x
  3. Step 3: Cross multiply
    2,138.60x = 3,207.54 × 678.09
  4. Step 4: Simplify right side
    2,138.60x = 2,175,000.80
  5. Step 5: Solve for x
    x = 2,175,000.80/2,138.60
  6. Step 6: Final answer
    x = 1,017.02

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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.