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Finding the Fourth Proportional to 3,166.08, 4,747.90 and 1,411.62

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Solution

The fourth proportional to 3,166.08, 4,747.90 and 1,411.62 is: 2,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.08 : 4,747.90 = 1,411.62 : x
  2. Step 2: Convert to fraction form
    3,166.08/4,747.90 = 1,411.62/x
  3. Step 3: Cross multiply
    3,166.08x = 4,747.90 × 1,411.62
  4. Step 4: Simplify right side
    3,166.08x = 6,702,230.60
  5. Step 5: Solve for x
    x = 6,702,230.60/3,166.08
  6. Step 6: Final answer
    x = 2,116.89

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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.