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Finding the Fourth Proportional to 1,846.01, 2,768.83 and 691.85

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Solution

The fourth proportional to 1,846.01, 2,768.83 and 691.85 is: 1,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.01 : 2,768.83 = 691.85 : x
  2. Step 2: Convert to fraction form
    1,846.01/2,768.83 = 691.85/x
  3. Step 3: Cross multiply
    1,846.01x = 2,768.83 × 691.85
  4. Step 4: Simplify right side
    1,846.01x = 1,915,599.46
  5. Step 5: Solve for x
    x = 1,915,599.46/1,846.01
  6. Step 6: Final answer
    x = 1,037.70

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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.