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Finding the Fourth Proportional to 2,099.64, 3,151.08 and 1,516.44

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Solution

The fourth proportional to 2,099.64, 3,151.08 and 1,516.44 is: 2,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.64 : 3,151.08 = 1,516.44 : x
  2. Step 2: Convert to fraction form
    2,099.64/3,151.08 = 1,516.44/x
  3. Step 3: Cross multiply
    2,099.64x = 3,151.08 × 1,516.44
  4. Step 4: Simplify right side
    2,099.64x = 4,778,423.76
  5. Step 5: Solve for x
    x = 4,778,423.76/2,099.64
  6. Step 6: Final answer
    x = 2,275.83

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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.