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Finding the Fourth Proportional to 2,007.76, 3,011.71 and 620.97

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Solution

The fourth proportional to 2,007.76, 3,011.71 and 620.97 is: 931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.76 : 3,011.71 = 620.97 : x
  2. Step 2: Convert to fraction form
    2,007.76/3,011.71 = 620.97/x
  3. Step 3: Cross multiply
    2,007.76x = 3,011.71 × 620.97
  4. Step 4: Simplify right side
    2,007.76x = 1,870,166.50
  5. Step 5: Solve for x
    x = 1,870,166.50/2,007.76
  6. Step 6: Final answer
    x = 931.47

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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.