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Finding the Fourth Proportional to 2,649.12, 3,971.09 and 1,262.08

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Solution

The fourth proportional to 2,649.12, 3,971.09 and 1,262.08 is: 1,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.12 : 3,971.09 = 1,262.08 : x
  2. Step 2: Convert to fraction form
    2,649.12/3,971.09 = 1,262.08/x
  3. Step 3: Cross multiply
    2,649.12x = 3,971.09 × 1,262.08
  4. Step 4: Simplify right side
    2,649.12x = 5,011,833.27
  5. Step 5: Solve for x
    x = 5,011,833.27/2,649.12
  6. Step 6: Final answer
    x = 1,891.89

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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.