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Finding the Fourth Proportional to 2,309.51, 3,464.84 and 1,077.73

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Solution

The fourth proportional to 2,309.51, 3,464.84 and 1,077.73 is: 1,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.51 : 3,464.84 = 1,077.73 : x
  2. Step 2: Convert to fraction form
    2,309.51/3,464.84 = 1,077.73/x
  3. Step 3: Cross multiply
    2,309.51x = 3,464.84 × 1,077.73
  4. Step 4: Simplify right side
    2,309.51x = 3,734,162.01
  5. Step 5: Solve for x
    x = 3,734,162.01/2,309.51
  6. Step 6: Final answer
    x = 1,616.86

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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.