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Finding the Fourth Proportional to 2,462.78, 3,690.09 and 1,074.04

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Solution

The fourth proportional to 2,462.78, 3,690.09 and 1,074.04 is: 1,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.78 : 3,690.09 = 1,074.04 : x
  2. Step 2: Convert to fraction form
    2,462.78/3,690.09 = 1,074.04/x
  3. Step 3: Cross multiply
    2,462.78x = 3,690.09 × 1,074.04
  4. Step 4: Simplify right side
    2,462.78x = 3,963,295.04
  5. Step 5: Solve for x
    x = 3,963,295.04/2,462.78
  6. Step 6: Final answer
    x = 1,609.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.