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Finding the Fourth Proportional to 1,579.11, 2,179.31 and 880.48

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Solution

The fourth proportional to 1,579.11, 2,179.31 and 880.48 is: 1,215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.11 : 2,179.31 = 880.48 : x
  2. Step 2: Convert to fraction form
    1,579.11/2,179.31 = 880.48/x
  3. Step 3: Cross multiply
    1,579.11x = 2,179.31 × 880.48
  4. Step 4: Simplify right side
    1,579.11x = 1,918,838.87
  5. Step 5: Solve for x
    x = 1,918,838.87/1,579.11
  6. Step 6: Final answer
    x = 1,215.14

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Why These Related Problems?

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