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Finding the Fourth Proportional to 2,682.54, 4,026.54 and 1,849.66

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Solution

The fourth proportional to 2,682.54, 4,026.54 and 1,849.66 is: 2,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.54 : 4,026.54 = 1,849.66 : x
  2. Step 2: Convert to fraction form
    2,682.54/4,026.54 = 1,849.66/x
  3. Step 3: Cross multiply
    2,682.54x = 4,026.54 × 1,849.66
  4. Step 4: Simplify right side
    2,682.54x = 7,447,719.91
  5. Step 5: Solve for x
    x = 7,447,719.91/2,682.54
  6. Step 6: Final answer
    x = 2,776.37

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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.