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Finding the Fourth Proportional to 3,008.67, 4,513.20 and 817.21

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Solution

The fourth proportional to 3,008.67, 4,513.20 and 817.21 is: 1,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.67 : 4,513.20 = 817.21 : x
  2. Step 2: Convert to fraction form
    3,008.67/4,513.20 = 817.21/x
  3. Step 3: Cross multiply
    3,008.67x = 4,513.20 × 817.21
  4. Step 4: Simplify right side
    3,008.67x = 3,688,232.17
  5. Step 5: Solve for x
    x = 3,688,232.17/3,008.67
  6. Step 6: Final answer
    x = 1,225.87

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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.