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Finding the Fourth Proportional to 2,491.72, 3,736.32 and 847.72

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Solution

The fourth proportional to 2,491.72, 3,736.32 and 847.72 is: 1,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.72 : 3,736.32 = 847.72 : x
  2. Step 2: Convert to fraction form
    2,491.72/3,736.32 = 847.72/x
  3. Step 3: Cross multiply
    2,491.72x = 3,736.32 × 847.72
  4. Step 4: Simplify right side
    2,491.72x = 3,167,353.19
  5. Step 5: Solve for x
    x = 3,167,353.19/2,491.72
  6. Step 6: Final answer
    x = 1,271.15

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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.