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Finding the Fourth Proportional to 2,327.32, 3,491.33 and 766.81

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Solution

The fourth proportional to 2,327.32, 3,491.33 and 766.81 is: 1,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.32 : 3,491.33 = 766.81 : x
  2. Step 2: Convert to fraction form
    2,327.32/3,491.33 = 766.81/x
  3. Step 3: Cross multiply
    2,327.32x = 3,491.33 × 766.81
  4. Step 4: Simplify right side
    2,327.32x = 2,677,186.76
  5. Step 5: Solve for x
    x = 2,677,186.76/2,327.32
  6. Step 6: Final answer
    x = 1,150.33

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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.