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Finding the Fourth Proportional to 2,855.54, 4,282.05 and 1,006.11

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Solution

The fourth proportional to 2,855.54, 4,282.05 and 1,006.11 is: 1,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.54 : 4,282.05 = 1,006.11 : x
  2. Step 2: Convert to fraction form
    2,855.54/4,282.05 = 1,006.11/x
  3. Step 3: Cross multiply
    2,855.54x = 4,282.05 × 1,006.11
  4. Step 4: Simplify right side
    2,855.54x = 4,308,213.33
  5. Step 5: Solve for x
    x = 4,308,213.33/2,855.54
  6. Step 6: Final answer
    x = 1,508.72

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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.