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Finding the Fourth Proportional to 3,008.62, 4,512.92 and 817.34

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Solution

The fourth proportional to 3,008.62, 4,512.92 and 817.34 is: 1,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.62 : 4,512.92 = 817.34 : x
  2. Step 2: Convert to fraction form
    3,008.62/4,512.92 = 817.34/x
  3. Step 3: Cross multiply
    3,008.62x = 4,512.92 × 817.34
  4. Step 4: Simplify right side
    3,008.62x = 3,688,597.23
  5. Step 5: Solve for x
    x = 3,688,597.23/3,008.62
  6. Step 6: Final answer
    x = 1,226.01

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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.