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Finding the Fourth Proportional to 2,634.08, 3,950.28 and 1,074.08

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Solution

The fourth proportional to 2,634.08, 3,950.28 and 1,074.08 is: 1,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634.08 : 3,950.28 = 1,074.08 : x
  2. Step 2: Convert to fraction form
    2,634.08/3,950.28 = 1,074.08/x
  3. Step 3: Cross multiply
    2,634.08x = 3,950.28 × 1,074.08
  4. Step 4: Simplify right side
    2,634.08x = 4,242,916.74
  5. Step 5: Solve for x
    x = 4,242,916.74/2,634.08
  6. Step 6: Final answer
    x = 1,610.78

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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.