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Finding the Fourth Proportional to 3,033.75, 4,550.87 and 981.75

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Solution

The fourth proportional to 3,033.75, 4,550.87 and 981.75 is: 1,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.75 : 4,550.87 = 981.75 : x
  2. Step 2: Convert to fraction form
    3,033.75/4,550.87 = 981.75/x
  3. Step 3: Cross multiply
    3,033.75x = 4,550.87 × 981.75
  4. Step 4: Simplify right side
    3,033.75x = 4,467,811.71
  5. Step 5: Solve for x
    x = 4,467,811.71/3,033.75
  6. Step 6: Final answer
    x = 1,472.70

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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.