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Finding the Fourth Proportional to 2,911.84, 4,365.24 and 1,179.34

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Solution

The fourth proportional to 2,911.84, 4,365.24 and 1,179.34 is: 1,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.84 : 4,365.24 = 1,179.34 : x
  2. Step 2: Convert to fraction form
    2,911.84/4,365.24 = 1,179.34/x
  3. Step 3: Cross multiply
    2,911.84x = 4,365.24 × 1,179.34
  4. Step 4: Simplify right side
    2,911.84x = 5,148,102.14
  5. Step 5: Solve for x
    x = 5,148,102.14/2,911.84
  6. Step 6: Final answer
    x = 1,767.99

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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.