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Finding the Fourth Proportional to 2,824.76, 4,239.58 and 1,959.68

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Solution

The fourth proportional to 2,824.76, 4,239.58 and 1,959.68 is: 2,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.76 : 4,239.58 = 1,959.68 : x
  2. Step 2: Convert to fraction form
    2,824.76/4,239.58 = 1,959.68/x
  3. Step 3: Cross multiply
    2,824.76x = 4,239.58 × 1,959.68
  4. Step 4: Simplify right side
    2,824.76x = 8,308,220.13
  5. Step 5: Solve for x
    x = 8,308,220.13/2,824.76
  6. Step 6: Final answer
    x = 2,941.21

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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.