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Finding the Fourth Proportional to 3,166.84, 4,749.45 and 1,410.85

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Solution

The fourth proportional to 3,166.84, 4,749.45 and 1,410.85 is: 2,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.84 : 4,749.45 = 1,410.85 : x
  2. Step 2: Convert to fraction form
    3,166.84/4,749.45 = 1,410.85/x
  3. Step 3: Cross multiply
    3,166.84x = 4,749.45 × 1,410.85
  4. Step 4: Simplify right side
    3,166.84x = 6,700,761.53
  5. Step 5: Solve for x
    x = 6,700,761.53/3,166.84
  6. Step 6: Final answer
    x = 2,115.91

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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.