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Finding the Fourth Proportional to 1,466.68, 2,199.38 and 736.12

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Solution

The fourth proportional to 1,466.68, 2,199.38 and 736.12 is: 1,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.68 : 2,199.38 = 736.12 : x
  2. Step 2: Convert to fraction form
    1,466.68/2,199.38 = 736.12/x
  3. Step 3: Cross multiply
    1,466.68x = 2,199.38 × 736.12
  4. Step 4: Simplify right side
    1,466.68x = 1,619,007.61
  5. Step 5: Solve for x
    x = 1,619,007.61/1,466.68
  6. Step 6: Final answer
    x = 1,103.86

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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.