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Finding the Fourth Proportional to 2,270.53, 3,404.89 and 1,099.58

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Solution

The fourth proportional to 2,270.53, 3,404.89 and 1,099.58 is: 1,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.53 : 3,404.89 = 1,099.58 : x
  2. Step 2: Convert to fraction form
    2,270.53/3,404.89 = 1,099.58/x
  3. Step 3: Cross multiply
    2,270.53x = 3,404.89 × 1,099.58
  4. Step 4: Simplify right side
    2,270.53x = 3,743,927.11
  5. Step 5: Solve for x
    x = 3,743,927.11/2,270.53
  6. Step 6: Final answer
    x = 1,648.92

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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.