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Finding the Fourth Proportional to 2,211.77, 3,317.59 and 824.55

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Solution

The fourth proportional to 2,211.77, 3,317.59 and 824.55 is: 1,236.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.77 : 3,317.59 = 824.55 : x
  2. Step 2: Convert to fraction form
    2,211.77/3,317.59 = 824.55/x
  3. Step 3: Cross multiply
    2,211.77x = 3,317.59 × 824.55
  4. Step 4: Simplify right side
    2,211.77x = 2,735,507.42
  5. Step 5: Solve for x
    x = 2,735,507.42/2,211.77
  6. Step 6: Final answer
    x = 1,236.79

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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.