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Finding the Fourth Proportional to 3,033.71, 4,550.69 and 842.39

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Solution

The fourth proportional to 3,033.71, 4,550.69 and 842.39 is: 1,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.71 : 4,550.69 = 842.39 : x
  2. Step 2: Convert to fraction form
    3,033.71/4,550.69 = 842.39/x
  3. Step 3: Cross multiply
    3,033.71x = 4,550.69 × 842.39
  4. Step 4: Simplify right side
    3,033.71x = 3,833,435.10
  5. Step 5: Solve for x
    x = 3,833,435.10/3,033.71
  6. Step 6: Final answer
    x = 1,263.61

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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.