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Finding the Fourth Proportional to 2,009.26, 2,773.79 and 1,263.63

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Solution

The fourth proportional to 2,009.26, 2,773.79 and 1,263.63 is: 1,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.26 : 2,773.79 = 1,263.63 : x
  2. Step 2: Convert to fraction form
    2,009.26/2,773.79 = 1,263.63/x
  3. Step 3: Cross multiply
    2,009.26x = 2,773.79 × 1,263.63
  4. Step 4: Simplify right side
    2,009.26x = 3,505,044.26
  5. Step 5: Solve for x
    x = 3,505,044.26/2,009.26
  6. Step 6: Final answer
    x = 1,744.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.