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Finding the Fourth Proportional to 2,261.28, 3,389.76 and 963.48

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Solution

The fourth proportional to 2,261.28, 3,389.76 and 963.48 is: 1,444.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.28 : 3,389.76 = 963.48 : x
  2. Step 2: Convert to fraction form
    2,261.28/3,389.76 = 963.48/x
  3. Step 3: Cross multiply
    2,261.28x = 3,389.76 × 963.48
  4. Step 4: Simplify right side
    2,261.28x = 3,265,965.96
  5. Step 5: Solve for x
    x = 3,265,965.96/2,261.28
  6. Step 6: Final answer
    x = 1,444.30

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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.