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Finding the Fourth Proportional to 3,494.33, 4,822.08 and 1,922.42

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Solution

The fourth proportional to 3,494.33, 4,822.08 and 1,922.42 is: 2,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.33 : 4,822.08 = 1,922.42 : x
  2. Step 2: Convert to fraction form
    3,494.33/4,822.08 = 1,922.42/x
  3. Step 3: Cross multiply
    3,494.33x = 4,822.08 × 1,922.42
  4. Step 4: Simplify right side
    3,494.33x = 9,270,063.03
  5. Step 5: Solve for x
    x = 9,270,063.03/3,494.33
  6. Step 6: Final answer
    x = 2,652.89

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1.5x scale

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.