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Finding the Fourth Proportional to 3,203.88, 4,422.16 and 1,807.44

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Solution

The fourth proportional to 3,203.88, 4,422.16 and 1,807.44 is: 2,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.88 : 4,422.16 = 1,807.44 : x
  2. Step 2: Convert to fraction form
    3,203.88/4,422.16 = 1,807.44/x
  3. Step 3: Cross multiply
    3,203.88x = 4,422.16 × 1,807.44
  4. Step 4: Simplify right side
    3,203.88x = 7,992,788.87
  5. Step 5: Solve for x
    x = 7,992,788.87/3,203.88
  6. Step 6: Final answer
    x = 2,494.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.