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Finding the Fourth Proportional to 2,493.06, 3,740.94 and 1,033.22

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Solution

The fourth proportional to 2,493.06, 3,740.94 and 1,033.22 is: 1,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.06 : 3,740.94 = 1,033.22 : x
  2. Step 2: Convert to fraction form
    2,493.06/3,740.94 = 1,033.22/x
  3. Step 3: Cross multiply
    2,493.06x = 3,740.94 × 1,033.22
  4. Step 4: Simplify right side
    2,493.06x = 3,865,195.32
  5. Step 5: Solve for x
    x = 3,865,195.32/2,493.06
  6. Step 6: Final answer
    x = 1,550.38

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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.