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Finding the Fourth Proportional to 2,563.62, 3,842.55 and 1,266

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Solution

The fourth proportional to 2,563.62, 3,842.55 and 1,266 is: 1,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.62 : 3,842.55 = 1,266 : x
  2. Step 2: Convert to fraction form
    2,563.62/3,842.55 = 1,266/x
  3. Step 3: Cross multiply
    2,563.62x = 3,842.55 × 1,266
  4. Step 4: Simplify right side
    2,563.62x = 4,864,668.30
  5. Step 5: Solve for x
    x = 4,864,668.30/2,563.62
  6. Step 6: Final answer
    x = 1,897.58

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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.