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Finding the Fourth Proportional to 2,855.78, 4,283.67 and 2,282.30

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Solution

The fourth proportional to 2,855.78, 4,283.67 and 2,282.30 is: 3,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.78 : 4,283.67 = 2,282.30 : x
  2. Step 2: Convert to fraction form
    2,855.78/4,283.67 = 2,282.30/x
  3. Step 3: Cross multiply
    2,855.78x = 4,283.67 × 2,282.30
  4. Step 4: Simplify right side
    2,855.78x = 9,776,620.04
  5. Step 5: Solve for x
    x = 9,776,620.04/2,855.78
  6. Step 6: Final answer
    x = 3,423.45

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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.