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Finding the Fourth Proportional to 4,226.94, 6,340.14 and 1,305

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Solution

The fourth proportional to 4,226.94, 6,340.14 and 1,305 is: 1,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.94 : 6,340.14 = 1,305 : x
  2. Step 2: Convert to fraction form
    4,226.94/6,340.14 = 1,305/x
  3. Step 3: Cross multiply
    4,226.94x = 6,340.14 × 1,305
  4. Step 4: Simplify right side
    4,226.94x = 8,273,882.70
  5. Step 5: Solve for x
    x = 8,273,882.70/4,226.94
  6. Step 6: Final answer
    x = 1,957.42

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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.