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Finding the Fourth Proportional to 1,935.90, 2,672.19 and 1,228.23

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Solution

The fourth proportional to 1,935.90, 2,672.19 and 1,228.23 is: 1,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.90 : 2,672.19 = 1,228.23 : x
  2. Step 2: Convert to fraction form
    1,935.90/2,672.19 = 1,228.23/x
  3. Step 3: Cross multiply
    1,935.90x = 2,672.19 × 1,228.23
  4. Step 4: Simplify right side
    1,935.90x = 3,282,063.92
  5. Step 5: Solve for x
    x = 3,282,063.92/1,935.90
  6. Step 6: Final answer
    x = 1,695.37

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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.