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Finding the Fourth Proportional to 3,464.85, 4,780.94 and 1,972.80

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Solution

The fourth proportional to 3,464.85, 4,780.94 and 1,972.80 is: 2,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.85 : 4,780.94 = 1,972.80 : x
  2. Step 2: Convert to fraction form
    3,464.85/4,780.94 = 1,972.80/x
  3. Step 3: Cross multiply
    3,464.85x = 4,780.94 × 1,972.80
  4. Step 4: Simplify right side
    3,464.85x = 9,431,828.57
  5. Step 5: Solve for x
    x = 9,431,828.57/3,464.85
  6. Step 6: Final answer
    x = 2,722.15

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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.