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Finding the Fourth Proportional to 1,842.72, 2,542.36 and 1,448.48

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Solution

The fourth proportional to 1,842.72, 2,542.36 and 1,448.48 is: 1,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.72 : 2,542.36 = 1,448.48 : x
  2. Step 2: Convert to fraction form
    1,842.72/2,542.36 = 1,448.48/x
  3. Step 3: Cross multiply
    1,842.72x = 2,542.36 × 1,448.48
  4. Step 4: Simplify right side
    1,842.72x = 3,682,557.61
  5. Step 5: Solve for x
    x = 3,682,557.61/1,842.72
  6. Step 6: Final answer
    x = 1,998.44

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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.