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Finding the Fourth Proportional to 2,371.72, 3,558.66 and 911.20

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Solution

The fourth proportional to 2,371.72, 3,558.66 and 911.20 is: 1,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.72 : 3,558.66 = 911.20 : x
  2. Step 2: Convert to fraction form
    2,371.72/3,558.66 = 911.20/x
  3. Step 3: Cross multiply
    2,371.72x = 3,558.66 × 911.20
  4. Step 4: Simplify right side
    2,371.72x = 3,242,650.99
  5. Step 5: Solve for x
    x = 3,242,650.99/2,371.72
  6. Step 6: Final answer
    x = 1,367.21

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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.