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Finding the Fourth Proportional to 2,327.96, 3,490.25 and 767.45

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Solution

The fourth proportional to 2,327.96, 3,490.25 and 767.45 is: 1,150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.96 : 3,490.25 = 767.45 : x
  2. Step 2: Convert to fraction form
    2,327.96/3,490.25 = 767.45/x
  3. Step 3: Cross multiply
    2,327.96x = 3,490.25 × 767.45
  4. Step 4: Simplify right side
    2,327.96x = 2,678,571.07
  5. Step 5: Solve for x
    x = 2,678,571.07/2,327.96
  6. Step 6: Final answer
    x = 1,150.61

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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.