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Finding the Fourth Proportional to 2,233.11, 3,349.43 and 917.00

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Solution

The fourth proportional to 2,233.11, 3,349.43 and 917.00 is: 1,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.11 : 3,349.43 = 917.00 : x
  2. Step 2: Convert to fraction form
    2,233.11/3,349.43 = 917.00/x
  3. Step 3: Cross multiply
    2,233.11x = 3,349.43 × 917.00
  4. Step 4: Simplify right side
    2,233.11x = 3,071,424.82
  5. Step 5: Solve for x
    x = 3,071,424.82/2,233.11
  6. Step 6: Final answer
    x = 1,375.40

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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.