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Finding the Fourth Proportional to 2,298.21, 3,447.32 and 566.83

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Solution

The fourth proportional to 2,298.21, 3,447.32 and 566.83 is: 850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.21 : 3,447.32 = 566.83 : x
  2. Step 2: Convert to fraction form
    2,298.21/3,447.32 = 566.83/x
  3. Step 3: Cross multiply
    2,298.21x = 3,447.32 × 566.83
  4. Step 4: Simplify right side
    2,298.21x = 1,954,041.56
  5. Step 5: Solve for x
    x = 1,954,041.56/2,298.21
  6. Step 6: Final answer
    x = 850.25

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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.