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Finding the Fourth Proportional to 1,422.43, 1,963.64 and 1,175.18

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Solution

The fourth proportional to 1,422.43, 1,963.64 and 1,175.18 is: 1,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.43 : 1,963.64 = 1,175.18 : x
  2. Step 2: Convert to fraction form
    1,422.43/1,963.64 = 1,175.18/x
  3. Step 3: Cross multiply
    1,422.43x = 1,963.64 × 1,175.18
  4. Step 4: Simplify right side
    1,422.43x = 2,307,623.57
  5. Step 5: Solve for x
    x = 2,307,623.57/1,422.43
  6. Step 6: Final answer
    x = 1,622.31

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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.