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Finding the Fourth Proportional to 2,306.63, 3,459.26 and 845.44

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Solution

The fourth proportional to 2,306.63, 3,459.26 and 845.44 is: 1,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.63 : 3,459.26 = 845.44 : x
  2. Step 2: Convert to fraction form
    2,306.63/3,459.26 = 845.44/x
  3. Step 3: Cross multiply
    2,306.63x = 3,459.26 × 845.44
  4. Step 4: Simplify right side
    2,306.63x = 2,924,585.48
  5. Step 5: Solve for x
    x = 2,924,585.48/2,306.63
  6. Step 6: Final answer
    x = 1,267.91

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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.