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Finding the Fourth Proportional to 2,858.00, 4,286.98 and 778.00

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Solution

The fourth proportional to 2,858.00, 4,286.98 and 778.00 is: 1,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.00 : 4,286.98 = 778.00 : x
  2. Step 2: Convert to fraction form
    2,858.00/4,286.98 = 778.00/x
  3. Step 3: Cross multiply
    2,858.00x = 4,286.98 × 778.00
  4. Step 4: Simplify right side
    2,858.00x = 3,335,257.78
  5. Step 5: Solve for x
    x = 3,335,257.78/2,858.00
  6. Step 6: Final answer
    x = 1,166.99

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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.