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Finding the Fourth Proportional to 1,738.62, 2,607.41 and 698.29

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Solution

The fourth proportional to 1,738.62, 2,607.41 and 698.29 is: 1,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.62 : 2,607.41 = 698.29 : x
  2. Step 2: Convert to fraction form
    1,738.62/2,607.41 = 698.29/x
  3. Step 3: Cross multiply
    1,738.62x = 2,607.41 × 698.29
  4. Step 4: Simplify right side
    1,738.62x = 1,820,723.56
  5. Step 5: Solve for x
    x = 1,820,723.56/1,738.62
  6. Step 6: Final answer
    x = 1,047.22

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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.