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Finding the Fourth Proportional to 2,858.18, 4,287.22 and 778.15

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Solution

The fourth proportional to 2,858.18, 4,287.22 and 778.15 is: 1,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.18 : 4,287.22 = 778.15 : x
  2. Step 2: Convert to fraction form
    2,858.18/4,287.22 = 778.15/x
  3. Step 3: Cross multiply
    2,858.18x = 4,287.22 × 778.15
  4. Step 4: Simplify right side
    2,858.18x = 3,336,100.24
  5. Step 5: Solve for x
    x = 3,336,100.24/2,858.18
  6. Step 6: Final answer
    x = 1,167.21

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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.