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Finding the Fourth Proportional to 2,211.76, 3,315.84 and 1,662.88

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Solution

The fourth proportional to 2,211.76, 3,315.84 and 1,662.88 is: 2,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.76 : 3,315.84 = 1,662.88 : x
  2. Step 2: Convert to fraction form
    2,211.76/3,315.84 = 1,662.88/x
  3. Step 3: Cross multiply
    2,211.76x = 3,315.84 × 1,662.88
  4. Step 4: Simplify right side
    2,211.76x = 5,513,844.02
  5. Step 5: Solve for x
    x = 5,513,844.02/2,211.76
  6. Step 6: Final answer
    x = 2,492.97

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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.