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Finding the Fourth Proportional to 1,731.75, 2,392.07 and 1,401.42

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Solution

The fourth proportional to 1,731.75, 2,392.07 and 1,401.42 is: 1,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.75 : 2,392.07 = 1,401.42 : x
  2. Step 2: Convert to fraction form
    1,731.75/2,392.07 = 1,401.42/x
  3. Step 3: Cross multiply
    1,731.75x = 2,392.07 × 1,401.42
  4. Step 4: Simplify right side
    1,731.75x = 3,352,294.74
  5. Step 5: Solve for x
    x = 3,352,294.74/1,731.75
  6. Step 6: Final answer
    x = 1,935.78

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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.