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Finding the Fourth Proportional to 1,646.94, 2,467.17 and 768.23

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Solution

The fourth proportional to 1,646.94, 2,467.17 and 768.23 is: 1,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.94 : 2,467.17 = 768.23 : x
  2. Step 2: Convert to fraction form
    1,646.94/2,467.17 = 768.23/x
  3. Step 3: Cross multiply
    1,646.94x = 2,467.17 × 768.23
  4. Step 4: Simplify right side
    1,646.94x = 1,895,341.67
  5. Step 5: Solve for x
    x = 1,895,341.67/1,646.94
  6. Step 6: Final answer
    x = 1,150.83

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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.