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Finding the Fourth Proportional to 2,866.78, 4,299.36 and 786.87

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Solution

The fourth proportional to 2,866.78, 4,299.36 and 786.87 is: 1,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.78 : 4,299.36 = 786.87 : x
  2. Step 2: Convert to fraction form
    2,866.78/4,299.36 = 786.87/x
  3. Step 3: Cross multiply
    2,866.78x = 4,299.36 × 786.87
  4. Step 4: Simplify right side
    2,866.78x = 3,383,037.40
  5. Step 5: Solve for x
    x = 3,383,037.40/2,866.78
  6. Step 6: Final answer
    x = 1,180.08

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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.