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Finding the Fourth Proportional to 2,088.27, 3,131.69 and 855.33

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Solution

The fourth proportional to 2,088.27, 3,131.69 and 855.33 is: 1,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.27 : 3,131.69 = 855.33 : x
  2. Step 2: Convert to fraction form
    2,088.27/3,131.69 = 855.33/x
  3. Step 3: Cross multiply
    2,088.27x = 3,131.69 × 855.33
  4. Step 4: Simplify right side
    2,088.27x = 2,678,624.13
  5. Step 5: Solve for x
    x = 2,678,624.13/2,088.27
  6. Step 6: Final answer
    x = 1,282.70

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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.