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Finding the Fourth Proportional to 2,709.08, 4,062.81 and 1,149.06

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Solution

The fourth proportional to 2,709.08, 4,062.81 and 1,149.06 is: 1,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.08 : 4,062.81 = 1,149.06 : x
  2. Step 2: Convert to fraction form
    2,709.08/4,062.81 = 1,149.06/x
  3. Step 3: Cross multiply
    2,709.08x = 4,062.81 × 1,149.06
  4. Step 4: Simplify right side
    2,709.08x = 4,668,409.15
  5. Step 5: Solve for x
    x = 4,668,409.15/2,709.08
  6. Step 6: Final answer
    x = 1,723.25

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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.