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Finding the Fourth Proportional to 3,494.74, 4,822.84 and 1,901.49

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Solution

The fourth proportional to 3,494.74, 4,822.84 and 1,901.49 is: 2,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.74 : 4,822.84 = 1,901.49 : x
  2. Step 2: Convert to fraction form
    3,494.74/4,822.84 = 1,901.49/x
  3. Step 3: Cross multiply
    3,494.74x = 4,822.84 × 1,901.49
  4. Step 4: Simplify right side
    3,494.74x = 9,170,582.03
  5. Step 5: Solve for x
    x = 9,170,582.03/3,494.74
  6. Step 6: Final answer
    x = 2,624.11

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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.