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Finding the Fourth Proportional to 2,566.90, 3,851.08 and 2,126.06

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Solution

The fourth proportional to 2,566.90, 3,851.08 and 2,126.06 is: 3,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.90 : 3,851.08 = 2,126.06 : x
  2. Step 2: Convert to fraction form
    2,566.90/3,851.08 = 2,126.06/x
  3. Step 3: Cross multiply
    2,566.90x = 3,851.08 × 2,126.06
  4. Step 4: Simplify right side
    2,566.90x = 8,187,627.14
  5. Step 5: Solve for x
    x = 8,187,627.14/2,566.90
  6. Step 6: Final answer
    x = 3,189.69

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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.