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Finding the Fourth Proportional to 2,139.14, 3,208.82 and 678.41

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Solution

The fourth proportional to 2,139.14, 3,208.82 and 678.41 is: 1,017.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.14 : 3,208.82 = 678.41 : x
  2. Step 2: Convert to fraction form
    2,139.14/3,208.82 = 678.41/x
  3. Step 3: Cross multiply
    2,139.14x = 3,208.82 × 678.41
  4. Step 4: Simplify right side
    2,139.14x = 2,176,888.17
  5. Step 5: Solve for x
    x = 2,176,888.17/2,139.14
  6. Step 6: Final answer
    x = 1,017.65

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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.