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Finding the Fourth Proportional to 3,199.47, 4,415.22 and 1,783.22

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Solution

The fourth proportional to 3,199.47, 4,415.22 and 1,783.22 is: 2,460.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.47 : 4,415.22 = 1,783.22 : x
  2. Step 2: Convert to fraction form
    3,199.47/4,415.22 = 1,783.22/x
  3. Step 3: Cross multiply
    3,199.47x = 4,415.22 × 1,783.22
  4. Step 4: Simplify right side
    3,199.47x = 7,873,293.22
  5. Step 5: Solve for x
    x = 7,873,293.22/3,199.47
  6. Step 6: Final answer
    x = 2,460.81

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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.