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Finding the Fourth Proportional to 1,964.74, 2,711.25 and 1,080.63

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Solution

The fourth proportional to 1,964.74, 2,711.25 and 1,080.63 is: 1,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.74 : 2,711.25 = 1,080.63 : x
  2. Step 2: Convert to fraction form
    1,964.74/2,711.25 = 1,080.63/x
  3. Step 3: Cross multiply
    1,964.74x = 2,711.25 × 1,080.63
  4. Step 4: Simplify right side
    1,964.74x = 2,929,858.09
  5. Step 5: Solve for x
    x = 2,929,858.09/1,964.74
  6. Step 6: Final answer
    x = 1,491.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.