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Finding the Fourth Proportional to 2,564.82, 3,844.76 and 1,179.11

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Solution

The fourth proportional to 2,564.82, 3,844.76 and 1,179.11 is: 1,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.82 : 3,844.76 = 1,179.11 : x
  2. Step 2: Convert to fraction form
    2,564.82/3,844.76 = 1,179.11/x
  3. Step 3: Cross multiply
    2,564.82x = 3,844.76 × 1,179.11
  4. Step 4: Simplify right side
    2,564.82x = 4,533,369.84
  5. Step 5: Solve for x
    x = 4,533,369.84/2,564.82
  6. Step 6: Final answer
    x = 1,767.52

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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.