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Finding the Fourth Proportional to 2,794.93, 4,191.40 and 820.02

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Solution

The fourth proportional to 2,794.93, 4,191.40 and 820.02 is: 1,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.93 : 4,191.40 = 820.02 : x
  2. Step 2: Convert to fraction form
    2,794.93/4,191.40 = 820.02/x
  3. Step 3: Cross multiply
    2,794.93x = 4,191.40 × 820.02
  4. Step 4: Simplify right side
    2,794.93x = 3,437,031.83
  5. Step 5: Solve for x
    x = 3,437,031.83/2,794.93
  6. Step 6: Final answer
    x = 1,229.74

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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.