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Finding the Fourth Proportional to 2,233.81, 3,350.44 and 916.66

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Solution

The fourth proportional to 2,233.81, 3,350.44 and 916.66 is: 1,374.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.81 : 3,350.44 = 916.66 : x
  2. Step 2: Convert to fraction form
    2,233.81/3,350.44 = 916.66/x
  3. Step 3: Cross multiply
    2,233.81x = 3,350.44 × 916.66
  4. Step 4: Simplify right side
    2,233.81x = 3,071,214.33
  5. Step 5: Solve for x
    x = 3,071,214.33/2,233.81
  6. Step 6: Final answer
    x = 1,374.88

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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.