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Finding the Fourth Proportional to 2,007.48, 3,011.67 and 708.95

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Solution

The fourth proportional to 2,007.48, 3,011.67 and 708.95 is: 1,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.48 : 3,011.67 = 708.95 : x
  2. Step 2: Convert to fraction form
    2,007.48/3,011.67 = 708.95/x
  3. Step 3: Cross multiply
    2,007.48x = 3,011.67 × 708.95
  4. Step 4: Simplify right side
    2,007.48x = 2,135,108.39
  5. Step 5: Solve for x
    x = 2,135,108.39/2,007.48
  6. Step 6: Final answer
    x = 1,063.58

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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.