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Finding the Fourth Proportional to 1,633.62, 2,448.72 and 1,242.54

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Solution

The fourth proportional to 1,633.62, 2,448.72 and 1,242.54 is: 1,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.62 : 2,448.72 = 1,242.54 : x
  2. Step 2: Convert to fraction form
    1,633.62/2,448.72 = 1,242.54/x
  3. Step 3: Cross multiply
    1,633.62x = 2,448.72 × 1,242.54
  4. Step 4: Simplify right side
    1,633.62x = 3,042,632.55
  5. Step 5: Solve for x
    x = 3,042,632.55/1,633.62
  6. Step 6: Final answer
    x = 1,862.51

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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.