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Finding the Fourth Proportional to 1,845.70, 2,767.83 and 691.54

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Solution

The fourth proportional to 1,845.70, 2,767.83 and 691.54 is: 1,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.70 : 2,767.83 = 691.54 : x
  2. Step 2: Convert to fraction form
    1,845.70/2,767.83 = 691.54/x
  3. Step 3: Cross multiply
    1,845.70x = 2,767.83 × 691.54
  4. Step 4: Simplify right side
    1,845.70x = 1,914,065.16
  5. Step 5: Solve for x
    x = 1,914,065.16/1,845.70
  6. Step 6: Final answer
    x = 1,037.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.