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Finding the Fourth Proportional to 2,178.58, 3,006.14 and 1,294.20

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Solution

The fourth proportional to 2,178.58, 3,006.14 and 1,294.20 is: 1,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.58 : 3,006.14 = 1,294.20 : x
  2. Step 2: Convert to fraction form
    2,178.58/3,006.14 = 1,294.20/x
  3. Step 3: Cross multiply
    2,178.58x = 3,006.14 × 1,294.20
  4. Step 4: Simplify right side
    2,178.58x = 3,890,546.39
  5. Step 5: Solve for x
    x = 3,890,546.39/2,178.58
  6. Step 6: Final answer
    x = 1,785.82

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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.