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Finding the Fourth Proportional to 2,158.42, 3,234.70 and 986.98

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Solution

The fourth proportional to 2,158.42, 3,234.70 and 986.98 is: 1,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.42 : 3,234.70 = 986.98 : x
  2. Step 2: Convert to fraction form
    2,158.42/3,234.70 = 986.98/x
  3. Step 3: Cross multiply
    2,158.42x = 3,234.70 × 986.98
  4. Step 4: Simplify right side
    2,158.42x = 3,192,584.21
  5. Step 5: Solve for x
    x = 3,192,584.21/2,158.42
  6. Step 6: Final answer
    x = 1,479.13

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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.