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Finding the Fourth Proportional to 3,018.27, 4,527.34 and 826.99

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Solution

The fourth proportional to 3,018.27, 4,527.34 and 826.99 is: 1,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.27 : 4,527.34 = 826.99 : x
  2. Step 2: Convert to fraction form
    3,018.27/4,527.34 = 826.99/x
  3. Step 3: Cross multiply
    3,018.27x = 4,527.34 × 826.99
  4. Step 4: Simplify right side
    3,018.27x = 3,744,064.91
  5. Step 5: Solve for x
    x = 3,744,064.91/3,018.27
  6. Step 6: Final answer
    x = 1,240.47

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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.