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Finding the Fourth Proportional to 1,792.73, 2,473.79 and 1,046.65

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Solution

The fourth proportional to 1,792.73, 2,473.79 and 1,046.65 is: 1,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.73 : 2,473.79 = 1,046.65 : x
  2. Step 2: Convert to fraction form
    1,792.73/2,473.79 = 1,046.65/x
  3. Step 3: Cross multiply
    1,792.73x = 2,473.79 × 1,046.65
  4. Step 4: Simplify right side
    1,792.73x = 2,589,192.30
  5. Step 5: Solve for x
    x = 2,589,192.30/1,792.73
  6. Step 6: Final answer
    x = 1,444.27

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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.