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Finding the Fourth Proportional to 2,592.90, 3,578.97 and 2,460.62

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Solution

The fourth proportional to 2,592.90, 3,578.97 and 2,460.62 is: 3,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,578.97 = 2,460.62 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,578.97 = 2,460.62/x
  3. Step 3: Cross multiply
    2,592.90x = 3,578.97 × 2,460.62
  4. Step 4: Simplify right side
    2,592.90x = 8,806,485.16
  5. Step 5: Solve for x
    x = 8,806,485.16/2,592.90
  6. Step 6: Final answer
    x = 3,396.38

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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.