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Finding the Fourth Proportional to 2,398.58, 3,593.16 and 2,137.36

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Solution

The fourth proportional to 2,398.58, 3,593.16 and 2,137.36 is: 3,201.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.58 : 3,593.16 = 2,137.36 : x
  2. Step 2: Convert to fraction form
    2,398.58/3,593.16 = 2,137.36/x
  3. Step 3: Cross multiply
    2,398.58x = 3,593.16 × 2,137.36
  4. Step 4: Simplify right side
    2,398.58x = 7,679,876.46
  5. Step 5: Solve for x
    x = 7,679,876.46/2,398.58
  6. Step 6: Final answer
    x = 3,201.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.