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Finding the Fourth Proportional to 1,855.10, 2,781.72 and 622.08

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Solution

The fourth proportional to 1,855.10, 2,781.72 and 622.08 is: 932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.10 : 2,781.72 = 622.08 : x
  2. Step 2: Convert to fraction form
    1,855.10/2,781.72 = 622.08/x
  3. Step 3: Cross multiply
    1,855.10x = 2,781.72 × 622.08
  4. Step 4: Simplify right side
    1,855.10x = 1,730,452.38
  5. Step 5: Solve for x
    x = 1,730,452.38/1,855.10
  6. Step 6: Final answer
    x = 932.81

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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.