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Finding the Fourth Proportional to 1,747.36, 2,411.76 and 1,049.44

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Solution

The fourth proportional to 1,747.36, 2,411.76 and 1,049.44 is: 1,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.36 : 2,411.76 = 1,049.44 : x
  2. Step 2: Convert to fraction form
    1,747.36/2,411.76 = 1,049.44/x
  3. Step 3: Cross multiply
    1,747.36x = 2,411.76 × 1,049.44
  4. Step 4: Simplify right side
    1,747.36x = 2,530,997.41
  5. Step 5: Solve for x
    x = 2,530,997.41/1,747.36
  6. Step 6: Final answer
    x = 1,448.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.