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Finding the Fourth Proportional to 2,443.10, 3,665.87 and 1,144.67

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Solution

The fourth proportional to 2,443.10, 3,665.87 and 1,144.67 is: 1,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.10 : 3,665.87 = 1,144.67 : x
  2. Step 2: Convert to fraction form
    2,443.10/3,665.87 = 1,144.67/x
  3. Step 3: Cross multiply
    2,443.10x = 3,665.87 × 1,144.67
  4. Step 4: Simplify right side
    2,443.10x = 4,196,205.69
  5. Step 5: Solve for x
    x = 4,196,205.69/2,443.10
  6. Step 6: Final answer
    x = 1,717.57

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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.