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Finding the Fourth Proportional to 1,963.14, 2,709.14 and 1,079.02

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Solution

The fourth proportional to 1,963.14, 2,709.14 and 1,079.02 is: 1,489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.14 : 2,709.14 = 1,079.02 : x
  2. Step 2: Convert to fraction form
    1,963.14/2,709.14 = 1,079.02/x
  3. Step 3: Cross multiply
    1,963.14x = 2,709.14 × 1,079.02
  4. Step 4: Simplify right side
    1,963.14x = 2,923,216.24
  5. Step 5: Solve for x
    x = 2,923,216.24/1,963.14
  6. Step 6: Final answer
    x = 1,489.05

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Why These Related Problems?

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