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Finding the Fourth Proportional to 3,126.31, 4,689.10 and 817.99

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Solution

The fourth proportional to 3,126.31, 4,689.10 and 817.99 is: 1,226.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.31 : 4,689.10 = 817.99 : x
  2. Step 2: Convert to fraction form
    3,126.31/4,689.10 = 817.99/x
  3. Step 3: Cross multiply
    3,126.31x = 4,689.10 × 817.99
  4. Step 4: Simplify right side
    3,126.31x = 3,835,609.37
  5. Step 5: Solve for x
    x = 3,835,609.37/3,126.31
  6. Step 6: Final answer
    x = 1,226.88

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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.