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Finding the Fourth Proportional to 2,682.90, 4,044.47 and 2,504.50

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Solution

The fourth proportional to 2,682.90, 4,044.47 and 2,504.50 is: 3,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.90 : 4,044.47 = 2,504.50 : x
  2. Step 2: Convert to fraction form
    2,682.90/4,044.47 = 2,504.50/x
  3. Step 3: Cross multiply
    2,682.90x = 4,044.47 × 2,504.50
  4. Step 4: Simplify right side
    2,682.90x = 10,129,352.48
  5. Step 5: Solve for x
    x = 10,129,352.48/2,682.90
  6. Step 6: Final answer
    x = 3,775.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.