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Finding the Fourth Proportional to 2,009.37, 3,014.19 and 622.52

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Solution

The fourth proportional to 2,009.37, 3,014.19 and 622.52 is: 933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.37 : 3,014.19 = 622.52 : x
  2. Step 2: Convert to fraction form
    2,009.37/3,014.19 = 622.52/x
  3. Step 3: Cross multiply
    2,009.37x = 3,014.19 × 622.52
  4. Step 4: Simplify right side
    2,009.37x = 1,876,390.45
  5. Step 5: Solve for x
    x = 1,876,390.45/2,009.37
  6. Step 6: Final answer
    x = 933.82

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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.