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Finding the Fourth Proportional to 3,494.76, 4,822.76 and 1,922.80

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Solution

The fourth proportional to 3,494.76, 4,822.76 and 1,922.80 is: 2,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.76 : 4,822.76 = 1,922.80 : x
  2. Step 2: Convert to fraction form
    3,494.76/4,822.76 = 1,922.80/x
  3. Step 3: Cross multiply
    3,494.76x = 4,822.76 × 1,922.80
  4. Step 4: Simplify right side
    3,494.76x = 9,273,202.93
  5. Step 5: Solve for x
    x = 9,273,202.93/3,494.76
  6. Step 6: Final answer
    x = 2,653.46

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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.