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Finding the Fourth Proportional to 2,974.01, 4,103.49 and 1,778.83

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Solution

The fourth proportional to 2,974.01, 4,103.49 and 1,778.83 is: 2,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.01 : 4,103.49 = 1,778.83 : x
  2. Step 2: Convert to fraction form
    2,974.01/4,103.49 = 1,778.83/x
  3. Step 3: Cross multiply
    2,974.01x = 4,103.49 × 1,778.83
  4. Step 4: Simplify right side
    2,974.01x = 7,299,411.12
  5. Step 5: Solve for x
    x = 7,299,411.12/2,974.01
  6. Step 6: Final answer
    x = 2,454.40

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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.