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Finding the Fourth Proportional to 2,007.24, 3,010.17 and 620.40

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Solution

The fourth proportional to 2,007.24, 3,010.17 and 620.40 is: 930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.24 : 3,010.17 = 620.40 : x
  2. Step 2: Convert to fraction form
    2,007.24/3,010.17 = 620.40/x
  3. Step 3: Cross multiply
    2,007.24x = 3,010.17 × 620.40
  4. Step 4: Simplify right side
    2,007.24x = 1,867,509.47
  5. Step 5: Solve for x
    x = 1,867,509.47/2,007.24
  6. Step 6: Final answer
    x = 930.39

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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.