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Finding the Fourth Proportional to 2,007.12, 3,009.57 and 620.07

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Solution

The fourth proportional to 2,007.12, 3,009.57 and 620.07 is: 929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.12 : 3,009.57 = 620.07 : x
  2. Step 2: Convert to fraction form
    2,007.12/3,009.57 = 620.07/x
  3. Step 3: Cross multiply
    2,007.12x = 3,009.57 × 620.07
  4. Step 4: Simplify right side
    2,007.12x = 1,866,144.07
  5. Step 5: Solve for x
    x = 1,866,144.07/2,007.12
  6. Step 6: Final answer
    x = 929.76

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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.