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Finding the Fourth Proportional to 4,970.11, 7,450.52 and 1,680.90

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Solution

The fourth proportional to 4,970.11, 7,450.52 and 1,680.90 is: 2,519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.11 : 7,450.52 = 1,680.90 : x
  2. Step 2: Convert to fraction form
    4,970.11/7,450.52 = 1,680.90/x
  3. Step 3: Cross multiply
    4,970.11x = 7,450.52 × 1,680.90
  4. Step 4: Simplify right side
    4,970.11x = 12,523,579.07
  5. Step 5: Solve for x
    x = 12,523,579.07/4,970.11
  6. Step 6: Final answer
    x = 2,519.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.