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Finding the Fourth Proportional to 2,494.66, 3,741.99 and 1,107.67

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Solution

The fourth proportional to 2,494.66, 3,741.99 and 1,107.67 is: 1,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.66 : 3,741.99 = 1,107.67 : x
  2. Step 2: Convert to fraction form
    2,494.66/3,741.99 = 1,107.67/x
  3. Step 3: Cross multiply
    2,494.66x = 3,741.99 × 1,107.67
  4. Step 4: Simplify right side
    2,494.66x = 4,144,890.06
  5. Step 5: Solve for x
    x = 4,144,890.06/2,494.66
  6. Step 6: Final answer
    x = 1,661.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.