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Finding the Fourth Proportional to 3,494.23, 4,822.09 and 2,002.28

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Solution

The fourth proportional to 3,494.23, 4,822.09 and 2,002.28 is: 2,763.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.23 : 4,822.09 = 2,002.28 : x
  2. Step 2: Convert to fraction form
    3,494.23/4,822.09 = 2,002.28/x
  3. Step 3: Cross multiply
    3,494.23x = 4,822.09 × 2,002.28
  4. Step 4: Simplify right side
    3,494.23x = 9,655,145.25
  5. Step 5: Solve for x
    x = 9,655,145.25/3,494.23
  6. Step 6: Final answer
    x = 2,763.17

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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.