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Finding the Fourth Proportional to 2,649.99, 3,973.97 and 1,262.27

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Solution

The fourth proportional to 2,649.99, 3,973.97 and 1,262.27 is: 1,892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.99 : 3,973.97 = 1,262.27 : x
  2. Step 2: Convert to fraction form
    2,649.99/3,973.97 = 1,262.27/x
  3. Step 3: Cross multiply
    2,649.99x = 3,973.97 × 1,262.27
  4. Step 4: Simplify right side
    2,649.99x = 5,016,206.40
  5. Step 5: Solve for x
    x = 5,016,206.40/2,649.99
  6. Step 6: Final answer
    x = 1,892.92

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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.