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Finding the Fourth Proportional to 2,709.12, 4,061.19 and 1,066.83

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Solution

The fourth proportional to 2,709.12, 4,061.19 and 1,066.83 is: 1,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.12 : 4,061.19 = 1,066.83 : x
  2. Step 2: Convert to fraction form
    2,709.12/4,061.19 = 1,066.83/x
  3. Step 3: Cross multiply
    2,709.12x = 4,061.19 × 1,066.83
  4. Step 4: Simplify right side
    2,709.12x = 4,332,599.33
  5. Step 5: Solve for x
    x = 4,332,599.33/2,709.12
  6. Step 6: Final answer
    x = 1,599.26

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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.