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Finding the Fourth Proportional to 3,494.33, 4,821.77 and 2,002.16

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Solution

The fourth proportional to 3,494.33, 4,821.77 and 2,002.16 is: 2,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.33 : 4,821.77 = 2,002.16 : x
  2. Step 2: Convert to fraction form
    3,494.33/4,821.77 = 2,002.16/x
  3. Step 3: Cross multiply
    3,494.33x = 4,821.77 × 2,002.16
  4. Step 4: Simplify right side
    3,494.33x = 9,653,920.90
  5. Step 5: Solve for x
    x = 9,653,920.90/3,494.33
  6. Step 6: Final answer
    x = 2,762.74

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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.