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Finding the Fourth Proportional to 3,454.74, 4,766.82 and 2,195.34

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Solution

The fourth proportional to 3,454.74, 4,766.82 and 2,195.34 is: 3,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.74 : 4,766.82 = 2,195.34 : x
  2. Step 2: Convert to fraction form
    3,454.74/4,766.82 = 2,195.34/x
  3. Step 3: Cross multiply
    3,454.74x = 4,766.82 × 2,195.34
  4. Step 4: Simplify right side
    3,454.74x = 10,464,783.02
  5. Step 5: Solve for x
    x = 10,464,783.02/3,454.74
  6. Step 6: Final answer
    x = 3,029.10

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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.