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Finding the Fourth Proportional to 2,299.59, 3,450.60 and 1,066.77

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Solution

The fourth proportional to 2,299.59, 3,450.60 and 1,066.77 is: 1,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.59 : 3,450.60 = 1,066.77 : x
  2. Step 2: Convert to fraction form
    2,299.59/3,450.60 = 1,066.77/x
  3. Step 3: Cross multiply
    2,299.59x = 3,450.60 × 1,066.77
  4. Step 4: Simplify right side
    2,299.59x = 3,680,996.56
  5. Step 5: Solve for x
    x = 3,680,996.56/2,299.59
  6. Step 6: Final answer
    x = 1,600.72

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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.