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Finding the Fourth Proportional to 3,203.27, 4,807.90 and 1,973.08

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Solution

The fourth proportional to 3,203.27, 4,807.90 and 1,973.08 is: 2,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.27 : 4,807.90 = 1,973.08 : x
  2. Step 2: Convert to fraction form
    3,203.27/4,807.90 = 1,973.08/x
  3. Step 3: Cross multiply
    3,203.27x = 4,807.90 × 1,973.08
  4. Step 4: Simplify right side
    3,203.27x = 9,486,371.33
  5. Step 5: Solve for x
    x = 9,486,371.33/3,203.27
  6. Step 6: Final answer
    x = 2,961.46

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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.