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Finding the Fourth Proportional to 1,792.44, 2,473.46 and 1,006.48

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Solution

The fourth proportional to 1,792.44, 2,473.46 and 1,006.48 is: 1,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.44 : 2,473.46 = 1,006.48 : x
  2. Step 2: Convert to fraction form
    1,792.44/2,473.46 = 1,006.48/x
  3. Step 3: Cross multiply
    1,792.44x = 2,473.46 × 1,006.48
  4. Step 4: Simplify right side
    1,792.44x = 2,489,488.02
  5. Step 5: Solve for x
    x = 2,489,488.02/1,792.44
  6. Step 6: Final answer
    x = 1,388.88

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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.