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Finding the Fourth Proportional to 2,280.24, 3,418.93 and 963.32

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Solution

The fourth proportional to 2,280.24, 3,418.93 and 963.32 is: 1,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.24 : 3,418.93 = 963.32 : x
  2. Step 2: Convert to fraction form
    2,280.24/3,418.93 = 963.32/x
  3. Step 3: Cross multiply
    2,280.24x = 3,418.93 × 963.32
  4. Step 4: Simplify right side
    2,280.24x = 3,293,504.14
  5. Step 5: Solve for x
    x = 3,293,504.14/2,280.24
  6. Step 6: Final answer
    x = 1,444.37

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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.