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Finding the Fourth Proportional to 3,494.74, 4,823.49 and 2,002.90

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Solution

The fourth proportional to 3,494.74, 4,823.49 and 2,002.90 is: 2,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.74 : 4,823.49 = 2,002.90 : x
  2. Step 2: Convert to fraction form
    3,494.74/4,823.49 = 2,002.90/x
  3. Step 3: Cross multiply
    3,494.74x = 4,823.49 × 2,002.90
  4. Step 4: Simplify right side
    3,494.74x = 9,660,968.12
  5. Step 5: Solve for x
    x = 9,660,968.12/3,494.74
  6. Step 6: Final answer
    x = 2,764.43

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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.