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Finding the Fourth Proportional to 2,574.84, 3,553.38 and 1,579.80

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Solution

The fourth proportional to 2,574.84, 3,553.38 and 1,579.80 is: 2,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.84 : 3,553.38 = 1,579.80 : x
  2. Step 2: Convert to fraction form
    2,574.84/3,553.38 = 1,579.80/x
  3. Step 3: Cross multiply
    2,574.84x = 3,553.38 × 1,579.80
  4. Step 4: Simplify right side
    2,574.84x = 5,613,629.72
  5. Step 5: Solve for x
    x = 5,613,629.72/2,574.84
  6. Step 6: Final answer
    x = 2,180.19

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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.