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Finding the Fourth Proportional to 2,564.97, 3,844.42 and 1,177.14

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Solution

The fourth proportional to 2,564.97, 3,844.42 and 1,177.14 is: 1,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.97 : 3,844.42 = 1,177.14 : x
  2. Step 2: Convert to fraction form
    2,564.97/3,844.42 = 1,177.14/x
  3. Step 3: Cross multiply
    2,564.97x = 3,844.42 × 1,177.14
  4. Step 4: Simplify right side
    2,564.97x = 4,525,408.00
  5. Step 5: Solve for x
    x = 4,525,408.00/2,564.97
  6. Step 6: Final answer
    x = 1,764.31

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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.