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Finding the Fourth Proportional to 3,494.15, 4,821.98 and 1,922.25

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Solution

The fourth proportional to 3,494.15, 4,821.98 and 1,922.25 is: 2,652.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.15 : 4,821.98 = 1,922.25 : x
  2. Step 2: Convert to fraction form
    3,494.15/4,821.98 = 1,922.25/x
  3. Step 3: Cross multiply
    3,494.15x = 4,821.98 × 1,922.25
  4. Step 4: Simplify right side
    3,494.15x = 9,269,041.44
  5. Step 5: Solve for x
    x = 9,269,041.44/3,494.15
  6. Step 6: Final answer
    x = 2,652.74

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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.