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Finding the Fourth Proportional to 3,494.88, 4,823 and 1,922.97

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Solution

The fourth proportional to 3,494.88, 4,823 and 1,922.97 is: 2,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.88 : 4,823 = 1,922.97 : x
  2. Step 2: Convert to fraction form
    3,494.88/4,823 = 1,922.97/x
  3. Step 3: Cross multiply
    3,494.88x = 4,823 × 1,922.97
  4. Step 4: Simplify right side
    3,494.88x = 9,274,484.31
  5. Step 5: Solve for x
    x = 9,274,484.31/3,494.88
  6. Step 6: Final answer
    x = 2,653.73

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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.