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Finding the Fourth Proportional to 1,792.91, 2,474.17 and 1,046.90

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Solution

The fourth proportional to 1,792.91, 2,474.17 and 1,046.90 is: 1,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.91 : 2,474.17 = 1,046.90 : x
  2. Step 2: Convert to fraction form
    1,792.91/2,474.17 = 1,046.90/x
  3. Step 3: Cross multiply
    1,792.91x = 2,474.17 × 1,046.90
  4. Step 4: Simplify right side
    1,792.91x = 2,590,208.57
  5. Step 5: Solve for x
    x = 2,590,208.57/1,792.91
  6. Step 6: Final answer
    x = 1,444.70

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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.