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Finding the Fourth Proportional to 2,305.26, 3,458.16 and 845.64

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Solution

The fourth proportional to 2,305.26, 3,458.16 and 845.64 is: 1,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.26 : 3,458.16 = 845.64 : x
  2. Step 2: Convert to fraction form
    2,305.26/3,458.16 = 845.64/x
  3. Step 3: Cross multiply
    2,305.26x = 3,458.16 × 845.64
  4. Step 4: Simplify right side
    2,305.26x = 2,924,358.42
  5. Step 5: Solve for x
    x = 2,924,358.42/2,305.26
  6. Step 6: Final answer
    x = 1,268.56

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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.