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Finding the Fourth Proportional to 3,183.84, 4,774.32 and 1,868.22

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Solution

The fourth proportional to 3,183.84, 4,774.32 and 1,868.22 is: 2,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.84 : 4,774.32 = 1,868.22 : x
  2. Step 2: Convert to fraction form
    3,183.84/4,774.32 = 1,868.22/x
  3. Step 3: Cross multiply
    3,183.84x = 4,774.32 × 1,868.22
  4. Step 4: Simplify right side
    3,183.84x = 8,919,480.11
  5. Step 5: Solve for x
    x = 8,919,480.11/3,183.84
  6. Step 6: Final answer
    x = 2,801.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.