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Finding the Fourth Proportional to 2,014.13, 3,020.84 and 533.37

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Solution

The fourth proportional to 2,014.13, 3,020.84 and 533.37 is: 799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.13 : 3,020.84 = 533.37 : x
  2. Step 2: Convert to fraction form
    2,014.13/3,020.84 = 533.37/x
  3. Step 3: Cross multiply
    2,014.13x = 3,020.84 × 533.37
  4. Step 4: Simplify right side
    2,014.13x = 1,611,225.43
  5. Step 5: Solve for x
    x = 1,611,225.43/2,014.13
  6. Step 6: Final answer
    x = 799.96

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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.