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Finding the Fourth Proportional to 1,792.35, 2,474.01 and 1,046.61

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Solution

The fourth proportional to 1,792.35, 2,474.01 and 1,046.61 is: 1,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.35 : 2,474.01 = 1,046.61 : x
  2. Step 2: Convert to fraction form
    1,792.35/2,474.01 = 1,046.61/x
  3. Step 3: Cross multiply
    1,792.35x = 2,474.01 × 1,046.61
  4. Step 4: Simplify right side
    1,792.35x = 2,589,323.61
  5. Step 5: Solve for x
    x = 2,589,323.61/1,792.35
  6. Step 6: Final answer
    x = 1,444.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.