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Finding the Fourth Proportional to 2,772.06, 3,823.03 and 2,398.92

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Solution

The fourth proportional to 2,772.06, 3,823.03 and 2,398.92 is: 3,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.06 : 3,823.03 = 2,398.92 : x
  2. Step 2: Convert to fraction form
    2,772.06/3,823.03 = 2,398.92/x
  3. Step 3: Cross multiply
    2,772.06x = 3,823.03 × 2,398.92
  4. Step 4: Simplify right side
    2,772.06x = 9,171,143.13
  5. Step 5: Solve for x
    x = 9,171,143.13/2,772.06
  6. Step 6: Final answer
    x = 3,308.42

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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.