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Finding the Fourth Proportional to 2,362.94, 3,259.46 and 1,616.52

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Solution

The fourth proportional to 2,362.94, 3,259.46 and 1,616.52 is: 2,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.94 : 3,259.46 = 1,616.52 : x
  2. Step 2: Convert to fraction form
    2,362.94/3,259.46 = 1,616.52/x
  3. Step 3: Cross multiply
    2,362.94x = 3,259.46 × 1,616.52
  4. Step 4: Simplify right side
    2,362.94x = 5,268,982.28
  5. Step 5: Solve for x
    x = 5,268,982.28/2,362.94
  6. Step 6: Final answer
    x = 2,229.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.