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Finding the Fourth Proportional to 2,491.85, 3,738.41 and 931.87

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Solution

The fourth proportional to 2,491.85, 3,738.41 and 931.87 is: 1,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.85 : 3,738.41 = 931.87 : x
  2. Step 2: Convert to fraction form
    2,491.85/3,738.41 = 931.87/x
  3. Step 3: Cross multiply
    2,491.85x = 3,738.41 × 931.87
  4. Step 4: Simplify right side
    2,491.85x = 3,483,705.11
  5. Step 5: Solve for x
    x = 3,483,705.11/2,491.85
  6. Step 6: Final answer
    x = 1,398.04

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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.