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Finding the Fourth Proportional to 2,309.69, 3,465.20 and 1,077.83

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Solution

The fourth proportional to 2,309.69, 3,465.20 and 1,077.83 is: 1,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.69 : 3,465.20 = 1,077.83 : x
  2. Step 2: Convert to fraction form
    2,309.69/3,465.20 = 1,077.83/x
  3. Step 3: Cross multiply
    2,309.69x = 3,465.20 × 1,077.83
  4. Step 4: Simplify right side
    2,309.69x = 3,734,896.52
  5. Step 5: Solve for x
    x = 3,734,896.52/2,309.69
  6. Step 6: Final answer
    x = 1,617.06

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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.