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Finding the Fourth Proportional to 2,105.53, 3,148.77 and 1,578.83

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Solution

The fourth proportional to 2,105.53, 3,148.77 and 1,578.83 is: 2,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.53 : 3,148.77 = 1,578.83 : x
  2. Step 2: Convert to fraction form
    2,105.53/3,148.77 = 1,578.83/x
  3. Step 3: Cross multiply
    2,105.53x = 3,148.77 × 1,578.83
  4. Step 4: Simplify right side
    2,105.53x = 4,971,362.72
  5. Step 5: Solve for x
    x = 4,971,362.72/2,105.53
  6. Step 6: Final answer
    x = 2,361.10

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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.