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Finding the Fourth Proportional to 2,341.72, 3,512.24 and 698.03

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Solution

The fourth proportional to 2,341.72, 3,512.24 and 698.03 is: 1,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.72 : 3,512.24 = 698.03 : x
  2. Step 2: Convert to fraction form
    2,341.72/3,512.24 = 698.03/x
  3. Step 3: Cross multiply
    2,341.72x = 3,512.24 × 698.03
  4. Step 4: Simplify right side
    2,341.72x = 2,451,648.89
  5. Step 5: Solve for x
    x = 2,451,648.89/2,341.72
  6. Step 6: Final answer
    x = 1,046.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.