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Finding the Fourth Proportional to 2,018.17, 3,027.21 and 537.31

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Solution

The fourth proportional to 2,018.17, 3,027.21 and 537.31 is: 805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.17 : 3,027.21 = 537.31 : x
  2. Step 2: Convert to fraction form
    2,018.17/3,027.21 = 537.31/x
  3. Step 3: Cross multiply
    2,018.17x = 3,027.21 × 537.31
  4. Step 4: Simplify right side
    2,018.17x = 1,626,550.21
  5. Step 5: Solve for x
    x = 1,626,550.21/2,018.17
  6. Step 6: Final answer
    x = 805.95

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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.