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Finding the Fourth Proportional to 2,366.64, 3,550.44 and 828.72

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Solution

The fourth proportional to 2,366.64, 3,550.44 and 828.72 is: 1,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.64 : 3,550.44 = 828.72 : x
  2. Step 2: Convert to fraction form
    2,366.64/3,550.44 = 828.72/x
  3. Step 3: Cross multiply
    2,366.64x = 3,550.44 × 828.72
  4. Step 4: Simplify right side
    2,366.64x = 2,942,320.64
  5. Step 5: Solve for x
    x = 2,942,320.64/2,366.64
  6. Step 6: Final answer
    x = 1,243.25

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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.