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Finding the Fourth Proportional to 2,244.07, 3,367.08 and 857.83

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Solution

The fourth proportional to 2,244.07, 3,367.08 and 857.83 is: 1,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.07 : 3,367.08 = 857.83 : x
  2. Step 2: Convert to fraction form
    2,244.07/3,367.08 = 857.83/x
  3. Step 3: Cross multiply
    2,244.07x = 3,367.08 × 857.83
  4. Step 4: Simplify right side
    2,244.07x = 2,888,382.24
  5. Step 5: Solve for x
    x = 2,888,382.24/2,244.07
  6. Step 6: Final answer
    x = 1,287.12

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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.