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Finding the Fourth Proportional to 2,858.68, 4,287.97 and 778.65

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Solution

The fourth proportional to 2,858.68, 4,287.97 and 778.65 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.68 : 4,287.97 = 778.65 : x
  2. Step 2: Convert to fraction form
    2,858.68/4,287.97 = 778.65/x
  3. Step 3: Cross multiply
    2,858.68x = 4,287.97 × 778.65
  4. Step 4: Simplify right side
    2,858.68x = 3,338,827.84
  5. Step 5: Solve for x
    x = 3,338,827.84/2,858.68
  6. Step 6: Final answer
    x = 1,167.96

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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.