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Finding the Fourth Proportional to 2,211.72, 3,317.58 and 896.07

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Solution

The fourth proportional to 2,211.72, 3,317.58 and 896.07 is: 1,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.72 : 3,317.58 = 896.07 : x
  2. Step 2: Convert to fraction form
    2,211.72/3,317.58 = 896.07/x
  3. Step 3: Cross multiply
    2,211.72x = 3,317.58 × 896.07
  4. Step 4: Simplify right side
    2,211.72x = 2,972,783.91
  5. Step 5: Solve for x
    x = 2,972,783.91/2,211.72
  6. Step 6: Final answer
    x = 1,344.11

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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.