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Finding the Fourth Proportional to 2,138.66, 2,948.97 and 1,754.23

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Solution

The fourth proportional to 2,138.66, 2,948.97 and 1,754.23 is: 2,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.66 : 2,948.97 = 1,754.23 : x
  2. Step 2: Convert to fraction form
    2,138.66/2,948.97 = 1,754.23/x
  3. Step 3: Cross multiply
    2,138.66x = 2,948.97 × 1,754.23
  4. Step 4: Simplify right side
    2,138.66x = 5,173,171.64
  5. Step 5: Solve for x
    x = 5,173,171.64/2,138.66
  6. Step 6: Final answer
    x = 2,418.88

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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.