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Finding the Fourth Proportional to 4,202.99, 6,305.31 and 1,241.48

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Solution

The fourth proportional to 4,202.99, 6,305.31 and 1,241.48 is: 1,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.99 : 6,305.31 = 1,241.48 : x
  2. Step 2: Convert to fraction form
    4,202.99/6,305.31 = 1,241.48/x
  3. Step 3: Cross multiply
    4,202.99x = 6,305.31 × 1,241.48
  4. Step 4: Simplify right side
    4,202.99x = 7,827,935.13
  5. Step 5: Solve for x
    x = 7,827,935.13/4,202.99
  6. Step 6: Final answer
    x = 1,862.47

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1.5x scale

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.