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Finding the Fourth Proportional to 4,426.92, 6,641.28 and 1,830.24

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Solution

The fourth proportional to 4,426.92, 6,641.28 and 1,830.24 is: 2,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.92 : 6,641.28 = 1,830.24 : x
  2. Step 2: Convert to fraction form
    4,426.92/6,641.28 = 1,830.24/x
  3. Step 3: Cross multiply
    4,426.92x = 6,641.28 × 1,830.24
  4. Step 4: Simplify right side
    4,426.92x = 12,155,136.31
  5. Step 5: Solve for x
    x = 12,155,136.31/4,426.92
  6. Step 6: Final answer
    x = 2,745.73

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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.