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Finding the Fourth Proportional to 2,014.19, 3,020.94 and 533.43

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Solution

The fourth proportional to 2,014.19, 3,020.94 and 533.43 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.19 : 3,020.94 = 533.43 : x
  2. Step 2: Convert to fraction form
    2,014.19/3,020.94 = 533.43/x
  3. Step 3: Cross multiply
    2,014.19x = 3,020.94 × 533.43
  4. Step 4: Simplify right side
    2,014.19x = 1,611,460.02
  5. Step 5: Solve for x
    x = 1,611,460.02/2,014.19
  6. Step 6: Final answer
    x = 800.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.