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Finding the Fourth Proportional to 2,199.88, 3,306.30 and 1,435.24

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Solution

The fourth proportional to 2,199.88, 3,306.30 and 1,435.24 is: 2,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.88 : 3,306.30 = 1,435.24 : x
  2. Step 2: Convert to fraction form
    2,199.88/3,306.30 = 1,435.24/x
  3. Step 3: Cross multiply
    2,199.88x = 3,306.30 × 1,435.24
  4. Step 4: Simplify right side
    2,199.88x = 4,745,334.01
  5. Step 5: Solve for x
    x = 4,745,334.01/2,199.88
  6. Step 6: Final answer
    x = 2,157.09

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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.