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Finding the Fourth Proportional to 3,095.73, 4,269.70 and 2,151.49

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Solution

The fourth proportional to 3,095.73, 4,269.70 and 2,151.49 is: 2,967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.73 : 4,269.70 = 2,151.49 : x
  2. Step 2: Convert to fraction form
    3,095.73/4,269.70 = 2,151.49/x
  3. Step 3: Cross multiply
    3,095.73x = 4,269.70 × 2,151.49
  4. Step 4: Simplify right side
    3,095.73x = 9,186,216.85
  5. Step 5: Solve for x
    x = 9,186,216.85/3,095.73
  6. Step 6: Final answer
    x = 2,967.38

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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.