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Finding the Fourth Proportional to 3,107.32, 4,660.94 and 767.35

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Solution

The fourth proportional to 3,107.32, 4,660.94 and 767.35 is: 1,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.32 : 4,660.94 = 767.35 : x
  2. Step 2: Convert to fraction form
    3,107.32/4,660.94 = 767.35/x
  3. Step 3: Cross multiply
    3,107.32x = 4,660.94 × 767.35
  4. Step 4: Simplify right side
    3,107.32x = 3,576,568.47
  5. Step 5: Solve for x
    x = 3,576,568.47/3,107.32
  6. Step 6: Final answer
    x = 1,151.01

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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.