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Finding the Fourth Proportional to 2,491.67, 3,736.63 and 736.21

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Solution

The fourth proportional to 2,491.67, 3,736.63 and 736.21 is: 1,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.67 : 3,736.63 = 736.21 : x
  2. Step 2: Convert to fraction form
    2,491.67/3,736.63 = 736.21/x
  3. Step 3: Cross multiply
    2,491.67x = 3,736.63 × 736.21
  4. Step 4: Simplify right side
    2,491.67x = 2,750,925.69
  5. Step 5: Solve for x
    x = 2,750,925.69/2,491.67
  6. Step 6: Final answer
    x = 1,104.05

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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.