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Finding the Fourth Proportional to 3,094.78, 4,641.92 and 2,006

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Solution

The fourth proportional to 3,094.78, 4,641.92 and 2,006 is: 3,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.78 : 4,641.92 = 2,006 : x
  2. Step 2: Convert to fraction form
    3,094.78/4,641.92 = 2,006/x
  3. Step 3: Cross multiply
    3,094.78x = 4,641.92 × 2,006
  4. Step 4: Simplify right side
    3,094.78x = 9,311,691.52
  5. Step 5: Solve for x
    x = 9,311,691.52/3,094.78
  6. Step 6: Final answer
    x = 3,008.84

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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.