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Finding the Fourth Proportional to 2,782.69, 4,170.07 and 1,959.28

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Solution

The fourth proportional to 2,782.69, 4,170.07 and 1,959.28 is: 2,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.69 : 4,170.07 = 1,959.28 : x
  2. Step 2: Convert to fraction form
    2,782.69/4,170.07 = 1,959.28/x
  3. Step 3: Cross multiply
    2,782.69x = 4,170.07 × 1,959.28
  4. Step 4: Simplify right side
    2,782.69x = 8,170,334.75
  5. Step 5: Solve for x
    x = 8,170,334.75/2,782.69
  6. Step 6: Final answer
    x = 2,936.13

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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.