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Finding the Fourth Proportional to 2,014.37, 3,021.19 and 533.60

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Solution

The fourth proportional to 2,014.37, 3,021.19 and 533.60 is: 800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.37 : 3,021.19 = 533.60 : x
  2. Step 2: Convert to fraction form
    2,014.37/3,021.19 = 533.60/x
  3. Step 3: Cross multiply
    2,014.37x = 3,021.19 × 533.60
  4. Step 4: Simplify right side
    2,014.37x = 1,612,106.98
  5. Step 5: Solve for x
    x = 1,612,106.98/2,014.37
  6. Step 6: Final answer
    x = 800.30

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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.