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Finding the Fourth Proportional to 3,219.84, 4,830.12 and 1,028.88

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Solution

The fourth proportional to 3,219.84, 4,830.12 and 1,028.88 is: 1,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.84 : 4,830.12 = 1,028.88 : x
  2. Step 2: Convert to fraction form
    3,219.84/4,830.12 = 1,028.88/x
  3. Step 3: Cross multiply
    3,219.84x = 4,830.12 × 1,028.88
  4. Step 4: Simplify right side
    3,219.84x = 4,969,613.87
  5. Step 5: Solve for x
    x = 4,969,613.87/3,219.84
  6. Step 6: Final answer
    x = 1,543.44

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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.