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Finding the Fourth Proportional to 2,422.26, 3,633.12 and 690.75

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Solution

The fourth proportional to 2,422.26, 3,633.12 and 690.75 is: 1,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.26 : 3,633.12 = 690.75 : x
  2. Step 2: Convert to fraction form
    2,422.26/3,633.12 = 690.75/x
  3. Step 3: Cross multiply
    2,422.26x = 3,633.12 × 690.75
  4. Step 4: Simplify right side
    2,422.26x = 2,509,577.64
  5. Step 5: Solve for x
    x = 2,509,577.64/2,422.26
  6. Step 6: Final answer
    x = 1,036.05

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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.