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Finding the Fourth Proportional to 2,498.68, 3,745.43 and 1,112.67

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Solution

The fourth proportional to 2,498.68, 3,745.43 and 1,112.67 is: 1,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.68 : 3,745.43 = 1,112.67 : x
  2. Step 2: Convert to fraction form
    2,498.68/3,745.43 = 1,112.67/x
  3. Step 3: Cross multiply
    2,498.68x = 3,745.43 × 1,112.67
  4. Step 4: Simplify right side
    2,498.68x = 4,167,426.21
  5. Step 5: Solve for x
    x = 4,167,426.21/2,498.68
  6. Step 6: Final answer
    x = 1,667.85

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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.