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Finding the Fourth Proportional to 2,843.02, 4,259.64 and 2,295.46

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Solution

The fourth proportional to 2,843.02, 4,259.64 and 2,295.46 is: 3,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.02 : 4,259.64 = 2,295.46 : x
  2. Step 2: Convert to fraction form
    2,843.02/4,259.64 = 2,295.46/x
  3. Step 3: Cross multiply
    2,843.02x = 4,259.64 × 2,295.46
  4. Step 4: Simplify right side
    2,843.02x = 9,777,833.23
  5. Step 5: Solve for x
    x = 9,777,833.23/2,843.02
  6. Step 6: Final answer
    x = 3,439.24

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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.