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Finding the Fourth Proportional to 2,211.01, 3,316.91 and 911.77

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Solution

The fourth proportional to 2,211.01, 3,316.91 and 911.77 is: 1,367.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.01 : 3,316.91 = 911.77 : x
  2. Step 2: Convert to fraction form
    2,211.01/3,316.91 = 911.77/x
  3. Step 3: Cross multiply
    2,211.01x = 3,316.91 × 911.77
  4. Step 4: Simplify right side
    2,211.01x = 3,024,259.03
  5. Step 5: Solve for x
    x = 3,024,259.03/2,211.01
  6. Step 6: Final answer
    x = 1,367.82

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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.