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Finding the Fourth Proportional to 2,306.44, 3,458.61 and 845.59

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Solution

The fourth proportional to 2,306.44, 3,458.61 and 845.59 is: 1,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.44 : 3,458.61 = 845.59 : x
  2. Step 2: Convert to fraction form
    2,306.44/3,458.61 = 845.59/x
  3. Step 3: Cross multiply
    2,306.44x = 3,458.61 × 845.59
  4. Step 4: Simplify right side
    2,306.44x = 2,924,566.03
  5. Step 5: Solve for x
    x = 2,924,566.03/2,306.44
  6. Step 6: Final answer
    x = 1,268.00

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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.