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Finding the Fourth Proportional to 3,182.88, 4,772.46 and 1,208.64

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Solution

The fourth proportional to 3,182.88, 4,772.46 and 1,208.64 is: 1,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.88 : 4,772.46 = 1,208.64 : x
  2. Step 2: Convert to fraction form
    3,182.88/4,772.46 = 1,208.64/x
  3. Step 3: Cross multiply
    3,182.88x = 4,772.46 × 1,208.64
  4. Step 4: Simplify right side
    3,182.88x = 5,768,186.05
  5. Step 5: Solve for x
    x = 5,768,186.05/3,182.88
  6. Step 6: Final answer
    x = 1,812.25

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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.