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Finding the Fourth Proportional to 2,508.90, 3,465.23 and 2,006.49

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Solution

The fourth proportional to 2,508.90, 3,465.23 and 2,006.49 is: 2,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.90 : 3,465.23 = 2,006.49 : x
  2. Step 2: Convert to fraction form
    2,508.90/3,465.23 = 2,006.49/x
  3. Step 3: Cross multiply
    2,508.90x = 3,465.23 × 2,006.49
  4. Step 4: Simplify right side
    2,508.90x = 6,952,952.30
  5. Step 5: Solve for x
    x = 6,952,952.30/2,508.90
  6. Step 6: Final answer
    x = 2,771.32

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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.