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Finding the Fourth Proportional to 1,775.82, 2,450.53 and 979.09

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Solution

The fourth proportional to 1,775.82, 2,450.53 and 979.09 is: 1,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.82 : 2,450.53 = 979.09 : x
  2. Step 2: Convert to fraction form
    1,775.82/2,450.53 = 979.09/x
  3. Step 3: Cross multiply
    1,775.82x = 2,450.53 × 979.09
  4. Step 4: Simplify right side
    1,775.82x = 2,399,289.42
  5. Step 5: Solve for x
    x = 2,399,289.42/1,775.82
  6. Step 6: Final answer
    x = 1,351.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.