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Finding the Fourth Proportional to 3,394.85, 5,094.27 and 1,641.65

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Solution

The fourth proportional to 3,394.85, 5,094.27 and 1,641.65 is: 2,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.85 : 5,094.27 = 1,641.65 : x
  2. Step 2: Convert to fraction form
    3,394.85/5,094.27 = 1,641.65/x
  3. Step 3: Cross multiply
    3,394.85x = 5,094.27 × 1,641.65
  4. Step 4: Simplify right side
    3,394.85x = 8,363,008.35
  5. Step 5: Solve for x
    x = 8,363,008.35/3,394.85
  6. Step 6: Final answer
    x = 2,463.44

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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.