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Finding the Fourth Proportional to 2,624.22, 3,935.32 and 980.42

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Solution

The fourth proportional to 2,624.22, 3,935.32 and 980.42 is: 1,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.22 : 3,935.32 = 980.42 : x
  2. Step 2: Convert to fraction form
    2,624.22/3,935.32 = 980.42/x
  3. Step 3: Cross multiply
    2,624.22x = 3,935.32 × 980.42
  4. Step 4: Simplify right side
    2,624.22x = 3,858,244.31
  5. Step 5: Solve for x
    x = 3,858,244.31/2,624.22
  6. Step 6: Final answer
    x = 1,470.24

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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.