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Finding the Fourth Proportional to 2,267.97, 3,125.12 and 1,736.82

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Solution

The fourth proportional to 2,267.97, 3,125.12 and 1,736.82 is: 2,393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.97 : 3,125.12 = 1,736.82 : x
  2. Step 2: Convert to fraction form
    2,267.97/3,125.12 = 1,736.82/x
  3. Step 3: Cross multiply
    2,267.97x = 3,125.12 × 1,736.82
  4. Step 4: Simplify right side
    2,267.97x = 5,427,762.23
  5. Step 5: Solve for x
    x = 5,427,762.23/2,267.97
  6. Step 6: Final answer
    x = 2,393.22

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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.