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Finding the Fourth Proportional to 2,609.74, 3,579.97 and 2,468.50

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Solution

The fourth proportional to 2,609.74, 3,579.97 and 2,468.50 is: 3,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.74 : 3,579.97 = 2,468.50 : x
  2. Step 2: Convert to fraction form
    2,609.74/3,579.97 = 2,468.50/x
  3. Step 3: Cross multiply
    2,609.74x = 3,579.97 × 2,468.50
  4. Step 4: Simplify right side
    2,609.74x = 8,837,155.95
  5. Step 5: Solve for x
    x = 8,837,155.95/2,609.74
  6. Step 6: Final answer
    x = 3,386.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.