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Finding the Fourth Proportional to 2,342.10, 3,512.44 and 698.21

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Solution

The fourth proportional to 2,342.10, 3,512.44 and 698.21 is: 1,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.10 : 3,512.44 = 698.21 : x
  2. Step 2: Convert to fraction form
    2,342.10/3,512.44 = 698.21/x
  3. Step 3: Cross multiply
    2,342.10x = 3,512.44 × 698.21
  4. Step 4: Simplify right side
    2,342.10x = 2,452,420.73
  5. Step 5: Solve for x
    x = 2,452,420.73/2,342.10
  6. Step 6: Final answer
    x = 1,047.10

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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.