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Finding the Fourth Proportional to 1,792.32, 2,473.40 and 1,006.37

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Solution

The fourth proportional to 1,792.32, 2,473.40 and 1,006.37 is: 1,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.32 : 2,473.40 = 1,006.37 : x
  2. Step 2: Convert to fraction form
    1,792.32/2,473.40 = 1,006.37/x
  3. Step 3: Cross multiply
    1,792.32x = 2,473.40 × 1,006.37
  4. Step 4: Simplify right side
    1,792.32x = 2,489,155.56
  5. Step 5: Solve for x
    x = 2,489,155.56/1,792.32
  6. Step 6: Final answer
    x = 1,388.79

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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.