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Finding the Fourth Proportional to 3,099.60, 4,650.17 and 1,785.33

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Solution

The fourth proportional to 3,099.60, 4,650.17 and 1,785.33 is: 2,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.60 : 4,650.17 = 1,785.33 : x
  2. Step 2: Convert to fraction form
    3,099.60/4,650.17 = 1,785.33/x
  3. Step 3: Cross multiply
    3,099.60x = 4,650.17 × 1,785.33
  4. Step 4: Simplify right side
    3,099.60x = 8,302,079.08
  5. Step 5: Solve for x
    x = 8,302,079.08/3,099.60
  6. Step 6: Final answer
    x = 2,678.44

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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.