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Finding the Fourth Proportional to 4,269.60, 6,399.81 and 1,930.86

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Solution

The fourth proportional to 4,269.60, 6,399.81 and 1,930.86 is: 2,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.60 : 6,399.81 = 1,930.86 : x
  2. Step 2: Convert to fraction form
    4,269.60/6,399.81 = 1,930.86/x
  3. Step 3: Cross multiply
    4,269.60x = 6,399.81 × 1,930.86
  4. Step 4: Simplify right side
    4,269.60x = 12,357,137.14
  5. Step 5: Solve for x
    x = 12,357,137.14/4,269.60
  6. Step 6: Final answer
    x = 2,894.21

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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.