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Finding the Fourth Proportional to 4,969.10, 7,449.01 and 1,679.89

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Solution

The fourth proportional to 4,969.10, 7,449.01 and 1,679.89 is: 2,518.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.10 : 7,449.01 = 1,679.89 : x
  2. Step 2: Convert to fraction form
    4,969.10/7,449.01 = 1,679.89/x
  3. Step 3: Cross multiply
    4,969.10x = 7,449.01 × 1,679.89
  4. Step 4: Simplify right side
    4,969.10x = 12,513,517.41
  5. Step 5: Solve for x
    x = 12,513,517.41/4,969.10
  6. Step 6: Final answer
    x = 2,518.27

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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.