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Finding the Fourth Proportional to 2,006.32, 3,010.68 and 708.70

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Solution

The fourth proportional to 2,006.32, 3,010.68 and 708.70 is: 1,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.32 : 3,010.68 = 708.70 : x
  2. Step 2: Convert to fraction form
    2,006.32/3,010.68 = 708.70/x
  3. Step 3: Cross multiply
    2,006.32x = 3,010.68 × 708.70
  4. Step 4: Simplify right side
    2,006.32x = 2,133,668.92
  5. Step 5: Solve for x
    x = 2,133,668.92/2,006.32
  6. Step 6: Final answer
    x = 1,063.47

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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.