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Finding the Fourth Proportional to 3,466.96, 4,783.84 and 1,974.90

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Solution

The fourth proportional to 3,466.96, 4,783.84 and 1,974.90 is: 2,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.96 : 4,783.84 = 1,974.90 : x
  2. Step 2: Convert to fraction form
    3,466.96/4,783.84 = 1,974.90/x
  3. Step 3: Cross multiply
    3,466.96x = 4,783.84 × 1,974.90
  4. Step 4: Simplify right side
    3,466.96x = 9,447,605.62
  5. Step 5: Solve for x
    x = 9,447,605.62/3,466.96
  6. Step 6: Final answer
    x = 2,725.04

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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.