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Finding the Fourth Proportional to 3,033.66, 4,550.40 and 842.52

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Solution

The fourth proportional to 3,033.66, 4,550.40 and 842.52 is: 1,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.66 : 4,550.40 = 842.52 : x
  2. Step 2: Convert to fraction form
    3,033.66/4,550.40 = 842.52/x
  3. Step 3: Cross multiply
    3,033.66x = 4,550.40 × 842.52
  4. Step 4: Simplify right side
    3,033.66x = 3,833,803.01
  5. Step 5: Solve for x
    x = 3,833,803.01/3,033.66
  6. Step 6: Final answer
    x = 1,263.76

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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.