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Finding the Fourth Proportional to 2,623.42, 3,932.78 and 980.04

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Solution

The fourth proportional to 2,623.42, 3,932.78 and 980.04 is: 1,469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.42 : 3,932.78 = 980.04 : x
  2. Step 2: Convert to fraction form
    2,623.42/3,932.78 = 980.04/x
  3. Step 3: Cross multiply
    2,623.42x = 3,932.78 × 980.04
  4. Step 4: Simplify right side
    2,623.42x = 3,854,284.16
  5. Step 5: Solve for x
    x = 3,854,284.16/2,623.42
  6. Step 6: Final answer
    x = 1,469.18

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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.