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Finding the Fourth Proportional to 2,566.39, 3,847.62 and 2,126.29

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Solution

The fourth proportional to 2,566.39, 3,847.62 and 2,126.29 is: 3,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.39 : 3,847.62 = 2,126.29 : x
  2. Step 2: Convert to fraction form
    2,566.39/3,847.62 = 2,126.29/x
  3. Step 3: Cross multiply
    2,566.39x = 3,847.62 × 2,126.29
  4. Step 4: Simplify right side
    2,566.39x = 8,181,126.06
  5. Step 5: Solve for x
    x = 8,181,126.06/2,566.39
  6. Step 6: Final answer
    x = 3,187.80

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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.