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Finding the Fourth Proportional to 3,494.92, 4,822.80 and 2,097.76

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Solution

The fourth proportional to 3,494.92, 4,822.80 and 2,097.76 is: 2,894.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.92 : 4,822.80 = 2,097.76 : x
  2. Step 2: Convert to fraction form
    3,494.92/4,822.80 = 2,097.76/x
  3. Step 3: Cross multiply
    3,494.92x = 4,822.80 × 2,097.76
  4. Step 4: Simplify right side
    3,494.92x = 10,117,076.93
  5. Step 5: Solve for x
    x = 10,117,076.93/3,494.92
  6. Step 6: Final answer
    x = 2,894.79

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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.