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Finding the Fourth Proportional to 3,007.86, 4,512.15 and 1,033.85

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Solution

The fourth proportional to 3,007.86, 4,512.15 and 1,033.85 is: 1,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.86 : 4,512.15 = 1,033.85 : x
  2. Step 2: Convert to fraction form
    3,007.86/4,512.15 = 1,033.85/x
  3. Step 3: Cross multiply
    3,007.86x = 4,512.15 × 1,033.85
  4. Step 4: Simplify right side
    3,007.86x = 4,664,863.72
  5. Step 5: Solve for x
    x = 4,664,863.72/3,007.86
  6. Step 6: Final answer
    x = 1,550.89

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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.