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Finding the Fourth Proportional to 2,287.44, 3,426.57 and 1,053.18

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Solution

The fourth proportional to 2,287.44, 3,426.57 and 1,053.18 is: 1,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.44 : 3,426.57 = 1,053.18 : x
  2. Step 2: Convert to fraction form
    2,287.44/3,426.57 = 1,053.18/x
  3. Step 3: Cross multiply
    2,287.44x = 3,426.57 × 1,053.18
  4. Step 4: Simplify right side
    2,287.44x = 3,608,794.99
  5. Step 5: Solve for x
    x = 3,608,794.99/2,287.44
  6. Step 6: Final answer
    x = 1,577.66

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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.