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Finding the Fourth Proportional to 3,494.32, 4,822.16 and 2,002.28

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Solution

The fourth proportional to 3,494.32, 4,822.16 and 2,002.28 is: 2,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.32 : 4,822.16 = 2,002.28 : x
  2. Step 2: Convert to fraction form
    3,494.32/4,822.16 = 2,002.28/x
  3. Step 3: Cross multiply
    3,494.32x = 4,822.16 × 2,002.28
  4. Step 4: Simplify right side
    3,494.32x = 9,655,314.52
  5. Step 5: Solve for x
    x = 9,655,314.52/3,494.32
  6. Step 6: Final answer
    x = 2,763.15

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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.