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Finding the Fourth Proportional to 2,007.69, 3,011.34 and 621.03

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Solution

The fourth proportional to 2,007.69, 3,011.34 and 621.03 is: 931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.69 : 3,011.34 = 621.03 : x
  2. Step 2: Convert to fraction form
    2,007.69/3,011.34 = 621.03/x
  3. Step 3: Cross multiply
    2,007.69x = 3,011.34 × 621.03
  4. Step 4: Simplify right side
    2,007.69x = 1,870,132.48
  5. Step 5: Solve for x
    x = 1,870,132.48/2,007.69
  6. Step 6: Final answer
    x = 931.48

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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.