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Finding the Fourth Proportional to 2,233.56, 3,350.10 and 917.45

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Solution

The fourth proportional to 2,233.56, 3,350.10 and 917.45 is: 1,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.56 : 3,350.10 = 917.45 : x
  2. Step 2: Convert to fraction form
    2,233.56/3,350.10 = 917.45/x
  3. Step 3: Cross multiply
    2,233.56x = 3,350.10 × 917.45
  4. Step 4: Simplify right side
    2,233.56x = 3,073,537.90
  5. Step 5: Solve for x
    x = 3,073,537.90/2,233.56
  6. Step 6: Final answer
    x = 1,376.07

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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.