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Finding the Fourth Proportional to 2,268.16, 3,400.64 and 1,033.87

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Solution

The fourth proportional to 2,268.16, 3,400.64 and 1,033.87 is: 1,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,268.16 : 3,400.64 = 1,033.87 : x
  2. Step 2: Convert to fraction form
    2,268.16/3,400.64 = 1,033.87/x
  3. Step 3: Cross multiply
    2,268.16x = 3,400.64 × 1,033.87
  4. Step 4: Simplify right side
    2,268.16x = 3,515,797.50
  5. Step 5: Solve for x
    x = 3,515,797.50/2,268.16
  6. Step 6: Final answer
    x = 1,550.07

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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.