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Finding the Fourth Proportional to 2,009.14, 3,013.54 and 622.59

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Solution

The fourth proportional to 2,009.14, 3,013.54 and 622.59 is: 933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.14 : 3,013.54 = 622.59 : x
  2. Step 2: Convert to fraction form
    2,009.14/3,013.54 = 622.59/x
  3. Step 3: Cross multiply
    2,009.14x = 3,013.54 × 622.59
  4. Step 4: Simplify right side
    2,009.14x = 1,876,187.01
  5. Step 5: Solve for x
    x = 1,876,187.01/2,009.14
  6. Step 6: Final answer
    x = 933.83

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1.5x scale

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.