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Finding the Fourth Proportional to 2,599.22, 3,898.82 and 845.68

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Solution

The fourth proportional to 2,599.22, 3,898.82 and 845.68 is: 1,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.22 : 3,898.82 = 845.68 : x
  2. Step 2: Convert to fraction form
    2,599.22/3,898.82 = 845.68/x
  3. Step 3: Cross multiply
    2,599.22x = 3,898.82 × 845.68
  4. Step 4: Simplify right side
    2,599.22x = 3,297,154.10
  5. Step 5: Solve for x
    x = 3,297,154.10/2,599.22
  6. Step 6: Final answer
    x = 1,268.52

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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.