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Finding the Fourth Proportional to 2,491.38, 3,736.82 and 930.69

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Solution

The fourth proportional to 2,491.38, 3,736.82 and 930.69 is: 1,395.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.38 : 3,736.82 = 930.69 : x
  2. Step 2: Convert to fraction form
    2,491.38/3,736.82 = 930.69/x
  3. Step 3: Cross multiply
    2,491.38x = 3,736.82 × 930.69
  4. Step 4: Simplify right side
    2,491.38x = 3,477,816.35
  5. Step 5: Solve for x
    x = 3,477,816.35/2,491.38
  6. Step 6: Final answer
    x = 1,395.94

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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.