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Finding the Fourth Proportional to 2,046.93, 3,070.83 and 1,169.85

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Solution

The fourth proportional to 2,046.93, 3,070.83 and 1,169.85 is: 1,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.93 : 3,070.83 = 1,169.85 : x
  2. Step 2: Convert to fraction form
    2,046.93/3,070.83 = 1,169.85/x
  3. Step 3: Cross multiply
    2,046.93x = 3,070.83 × 1,169.85
  4. Step 4: Simplify right side
    2,046.93x = 3,592,410.48
  5. Step 5: Solve for x
    x = 3,592,410.48/2,046.93
  6. Step 6: Final answer
    x = 1,755.02

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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.