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Finding the Fourth Proportional to 2,024.87, 3,035.93 and 1,099.55

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Solution

The fourth proportional to 2,024.87, 3,035.93 and 1,099.55 is: 1,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.87 : 3,035.93 = 1,099.55 : x
  2. Step 2: Convert to fraction form
    2,024.87/3,035.93 = 1,099.55/x
  3. Step 3: Cross multiply
    2,024.87x = 3,035.93 × 1,099.55
  4. Step 4: Simplify right side
    2,024.87x = 3,338,136.15
  5. Step 5: Solve for x
    x = 3,338,136.15/2,024.87
  6. Step 6: Final answer
    x = 1,648.57

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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.