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Finding the Fourth Proportional to 3,462.17, 4,778.20 and 1,949.78

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Solution

The fourth proportional to 3,462.17, 4,778.20 and 1,949.78 is: 2,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.17 : 4,778.20 = 1,949.78 : x
  2. Step 2: Convert to fraction form
    3,462.17/4,778.20 = 1,949.78/x
  3. Step 3: Cross multiply
    3,462.17x = 4,778.20 × 1,949.78
  4. Step 4: Simplify right side
    3,462.17x = 9,316,417.34
  5. Step 5: Solve for x
    x = 9,316,417.34/3,462.17
  6. Step 6: Final answer
    x = 2,690.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.