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Finding the Fourth Proportional to 1,855.65, 2,781.90 and 814.86

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Solution

The fourth proportional to 1,855.65, 2,781.90 and 814.86 is: 1,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.65 : 2,781.90 = 814.86 : x
  2. Step 2: Convert to fraction form
    1,855.65/2,781.90 = 814.86/x
  3. Step 3: Cross multiply
    1,855.65x = 2,781.90 × 814.86
  4. Step 4: Simplify right side
    1,855.65x = 2,266,859.03
  5. Step 5: Solve for x
    x = 2,266,859.03/1,855.65
  6. Step 6: Final answer
    x = 1,221.60

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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.