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Finding the Fourth Proportional to 2,579.52, 3,557.98 and 1,585.12

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Solution

The fourth proportional to 2,579.52, 3,557.98 and 1,585.12 is: 2,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579.52 : 3,557.98 = 1,585.12 : x
  2. Step 2: Convert to fraction form
    2,579.52/3,557.98 = 1,585.12/x
  3. Step 3: Cross multiply
    2,579.52x = 3,557.98 × 1,585.12
  4. Step 4: Simplify right side
    2,579.52x = 5,639,816.10
  5. Step 5: Solve for x
    x = 5,639,816.10/2,579.52
  6. Step 6: Final answer
    x = 2,186.38

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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.