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Finding the Fourth Proportional to 1,422, 1,963.26 and 1,049.40

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Solution

The fourth proportional to 1,422, 1,963.26 and 1,049.40 is: 1,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422 : 1,963.26 = 1,049.40 : x
  2. Step 2: Convert to fraction form
    1,422/1,963.26 = 1,049.40/x
  3. Step 3: Cross multiply
    1,422x = 1,963.26 × 1,049.40
  4. Step 4: Simplify right side
    1,422x = 2,060,245.04
  5. Step 5: Solve for x
    x = 2,060,245.04/1,422
  6. Step 6: Final answer
    x = 1,448.84

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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.