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Finding the Fourth Proportional to 2,422.95, 3,634.56 and 779.55

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Solution

The fourth proportional to 2,422.95, 3,634.56 and 779.55 is: 1,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.95 : 3,634.56 = 779.55 : x
  2. Step 2: Convert to fraction form
    2,422.95/3,634.56 = 779.55/x
  3. Step 3: Cross multiply
    2,422.95x = 3,634.56 × 779.55
  4. Step 4: Simplify right side
    2,422.95x = 2,833,321.25
  5. Step 5: Solve for x
    x = 2,833,321.25/2,422.95
  6. Step 6: Final answer
    x = 1,169.37

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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.