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Finding the Fourth Proportional to 2,007.23, 3,010.01 and 708.80

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Solution

The fourth proportional to 2,007.23, 3,010.01 and 708.80 is: 1,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.23 : 3,010.01 = 708.80 : x
  2. Step 2: Convert to fraction form
    2,007.23/3,010.01 = 708.80/x
  3. Step 3: Cross multiply
    2,007.23x = 3,010.01 × 708.80
  4. Step 4: Simplify right side
    2,007.23x = 2,133,476.49
  5. Step 5: Solve for x
    x = 2,133,476.49/2,007.23
  6. Step 6: Final answer
    x = 1,062.90

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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.