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Finding the Fourth Proportional to 2,017.91, 2,784.78 and 1,179.23

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Solution

The fourth proportional to 2,017.91, 2,784.78 and 1,179.23 is: 1,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.91 : 2,784.78 = 1,179.23 : x
  2. Step 2: Convert to fraction form
    2,017.91/2,784.78 = 1,179.23/x
  3. Step 3: Cross multiply
    2,017.91x = 2,784.78 × 1,179.23
  4. Step 4: Simplify right side
    2,017.91x = 3,283,882.20
  5. Step 5: Solve for x
    x = 3,283,882.20/2,017.91
  6. Step 6: Final answer
    x = 1,627.37

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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.