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Finding the Fourth Proportional to 2,522.81, 3,783.35 and 963.26

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Solution

The fourth proportional to 2,522.81, 3,783.35 and 963.26 is: 1,444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.81 : 3,783.35 = 963.26 : x
  2. Step 2: Convert to fraction form
    2,522.81/3,783.35 = 963.26/x
  3. Step 3: Cross multiply
    2,522.81x = 3,783.35 × 963.26
  4. Step 4: Simplify right side
    2,522.81x = 3,644,339.68
  5. Step 5: Solve for x
    x = 3,644,339.68/2,522.81
  6. Step 6: Final answer
    x = 1,444.55

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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.