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Finding the Fourth Proportional to 2,069.72, 3,099.10 and 1,515.68

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Solution

The fourth proportional to 2,069.72, 3,099.10 and 1,515.68 is: 2,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.72 : 3,099.10 = 1,515.68 : x
  2. Step 2: Convert to fraction form
    2,069.72/3,099.10 = 1,515.68/x
  3. Step 3: Cross multiply
    2,069.72x = 3,099.10 × 1,515.68
  4. Step 4: Simplify right side
    2,069.72x = 4,697,243.89
  5. Step 5: Solve for x
    x = 4,697,243.89/2,069.72
  6. Step 6: Final answer
    x = 2,269.51

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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.