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Finding the Fourth Proportional to 1,822.44, 2,733.12 and 726.24

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Solution

The fourth proportional to 1,822.44, 2,733.12 and 726.24 is: 1,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.44 : 2,733.12 = 726.24 : x
  2. Step 2: Convert to fraction form
    1,822.44/2,733.12 = 726.24/x
  3. Step 3: Cross multiply
    1,822.44x = 2,733.12 × 726.24
  4. Step 4: Simplify right side
    1,822.44x = 1,984,901.07
  5. Step 5: Solve for x
    x = 1,984,901.07/1,822.44
  6. Step 6: Final answer
    x = 1,089.14

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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.