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Finding the Fourth Proportional to 2,196.53, 3,292.56 and 734.48

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Solution

The fourth proportional to 2,196.53, 3,292.56 and 734.48 is: 1,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.53 : 3,292.56 = 734.48 : x
  2. Step 2: Convert to fraction form
    2,196.53/3,292.56 = 734.48/x
  3. Step 3: Cross multiply
    2,196.53x = 3,292.56 × 734.48
  4. Step 4: Simplify right side
    2,196.53x = 2,418,303.01
  5. Step 5: Solve for x
    x = 2,418,303.01/2,196.53
  6. Step 6: Final answer
    x = 1,100.97

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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.