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Finding the Fourth Proportional to 2,007.26, 3,010.82 and 708.68

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Solution

The fourth proportional to 2,007.26, 3,010.82 and 708.68 is: 1,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.26 : 3,010.82 = 708.68 : x
  2. Step 2: Convert to fraction form
    2,007.26/3,010.82 = 708.68/x
  3. Step 3: Cross multiply
    2,007.26x = 3,010.82 × 708.68
  4. Step 4: Simplify right side
    2,007.26x = 2,133,707.92
  5. Step 5: Solve for x
    x = 2,133,707.92/2,007.26
  6. Step 6: Final answer
    x = 1,063.00

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1.5x scale

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.