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Finding the Fourth Proportional to 1,855.64, 2,781.53 and 814.77

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Solution

The fourth proportional to 1,855.64, 2,781.53 and 814.77 is: 1,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.64 : 2,781.53 = 814.77 : x
  2. Step 2: Convert to fraction form
    1,855.64/2,781.53 = 814.77/x
  3. Step 3: Cross multiply
    1,855.64x = 2,781.53 × 814.77
  4. Step 4: Simplify right side
    1,855.64x = 2,266,300.65
  5. Step 5: Solve for x
    x = 2,266,300.65/1,855.64
  6. Step 6: Final answer
    x = 1,221.30

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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.