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Finding the Fourth Proportional to 2,158.80, 3,238.38 and 697.98

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Solution

The fourth proportional to 2,158.80, 3,238.38 and 697.98 is: 1,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.80 : 3,238.38 = 697.98 : x
  2. Step 2: Convert to fraction form
    2,158.80/3,238.38 = 697.98/x
  3. Step 3: Cross multiply
    2,158.80x = 3,238.38 × 697.98
  4. Step 4: Simplify right side
    2,158.80x = 2,260,324.47
  5. Step 5: Solve for x
    x = 2,260,324.47/2,158.80
  6. Step 6: Final answer
    x = 1,047.03

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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.