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Finding the Fourth Proportional to 1,633.35, 2,255.81 and 1,422.55

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Solution

The fourth proportional to 1,633.35, 2,255.81 and 1,422.55 is: 1,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.35 : 2,255.81 = 1,422.55 : x
  2. Step 2: Convert to fraction form
    1,633.35/2,255.81 = 1,422.55/x
  3. Step 3: Cross multiply
    1,633.35x = 2,255.81 × 1,422.55
  4. Step 4: Simplify right side
    1,633.35x = 3,209,002.52
  5. Step 5: Solve for x
    x = 3,209,002.52/1,633.35
  6. Step 6: Final answer
    x = 1,964.68

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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.