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Finding the Fourth Proportional to 2,298.26, 3,447.41 and 566.89

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Solution

The fourth proportional to 2,298.26, 3,447.41 and 566.89 is: 850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.26 : 3,447.41 = 566.89 : x
  2. Step 2: Convert to fraction form
    2,298.26/3,447.41 = 566.89/x
  3. Step 3: Cross multiply
    2,298.26x = 3,447.41 × 566.89
  4. Step 4: Simplify right side
    2,298.26x = 1,954,282.18
  5. Step 5: Solve for x
    x = 1,954,282.18/2,298.26
  6. Step 6: Final answer
    x = 850.33

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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.