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Finding the Fourth Proportional to 3,095.62, 4,272.21 and 1,769.74

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Solution

The fourth proportional to 3,095.62, 4,272.21 and 1,769.74 is: 2,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.62 : 4,272.21 = 1,769.74 : x
  2. Step 2: Convert to fraction form
    3,095.62/4,272.21 = 1,769.74/x
  3. Step 3: Cross multiply
    3,095.62x = 4,272.21 × 1,769.74
  4. Step 4: Simplify right side
    3,095.62x = 7,560,700.93
  5. Step 5: Solve for x
    x = 7,560,700.93/3,095.62
  6. Step 6: Final answer
    x = 2,442.39

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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.