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Finding the Fourth Proportional to 2,441.31, 3,662.07 and 709.94

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Solution

The fourth proportional to 2,441.31, 3,662.07 and 709.94 is: 1,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.31 : 3,662.07 = 709.94 : x
  2. Step 2: Convert to fraction form
    2,441.31/3,662.07 = 709.94/x
  3. Step 3: Cross multiply
    2,441.31x = 3,662.07 × 709.94
  4. Step 4: Simplify right side
    2,441.31x = 2,599,828.12
  5. Step 5: Solve for x
    x = 2,599,828.12/2,441.31
  6. Step 6: Final answer
    x = 1,064.93

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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.