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Finding the Fourth Proportional to 2,138.94, 3,209.04 and 678.06

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Solution

The fourth proportional to 2,138.94, 3,209.04 and 678.06 is: 1,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.94 : 3,209.04 = 678.06 : x
  2. Step 2: Convert to fraction form
    2,138.94/3,209.04 = 678.06/x
  3. Step 3: Cross multiply
    2,138.94x = 3,209.04 × 678.06
  4. Step 4: Simplify right side
    2,138.94x = 2,175,921.66
  5. Step 5: Solve for x
    x = 2,175,921.66/2,138.94
  6. Step 6: Final answer
    x = 1,017.29

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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.