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Finding the Fourth Proportional to 8,140.80, 12,208.86 and 2,298

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Solution

The fourth proportional to 8,140.80, 12,208.86 and 2,298 is: 3,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.80 : 12,208.86 = 2,298 : x
  2. Step 2: Convert to fraction form
    8,140.80/12,208.86 = 2,298/x
  3. Step 3: Cross multiply
    8,140.80x = 12,208.86 × 2,298
  4. Step 4: Simplify right side
    8,140.80x = 28,055,960.28
  5. Step 5: Solve for x
    x = 28,055,960.28/8,140.80
  6. Step 6: Final answer
    x = 3,446.34

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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.