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Finding the Fourth Proportional to 2,493.63, 3,740.76 and 1,033.82

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Solution

The fourth proportional to 2,493.63, 3,740.76 and 1,033.82 is: 1,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.63 : 3,740.76 = 1,033.82 : x
  2. Step 2: Convert to fraction form
    2,493.63/3,740.76 = 1,033.82/x
  3. Step 3: Cross multiply
    2,493.63x = 3,740.76 × 1,033.82
  4. Step 4: Simplify right side
    2,493.63x = 3,867,253.80
  5. Step 5: Solve for x
    x = 3,867,253.80/2,493.63
  6. Step 6: Final answer
    x = 1,550.85

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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.