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Finding the Fourth Proportional to 1,902.64, 2,855.33 and 807.31

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Solution

The fourth proportional to 1,902.64, 2,855.33 and 807.31 is: 1,211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,855.33 = 807.31 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,855.33 = 807.31/x
  3. Step 3: Cross multiply
    1,902.64x = 2,855.33 × 807.31
  4. Step 4: Simplify right side
    1,902.64x = 2,305,136.46
  5. Step 5: Solve for x
    x = 2,305,136.46/1,902.64
  6. Step 6: Final answer
    x = 1,211.55

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