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Finding the Fourth Proportional to 1,792.44, 2,483.78 and 1,682.82

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Solution

The fourth proportional to 1,792.44, 2,483.78 and 1,682.82 is: 2,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.44 : 2,483.78 = 1,682.82 : x
  2. Step 2: Convert to fraction form
    1,792.44/2,483.78 = 1,682.82/x
  3. Step 3: Cross multiply
    1,792.44x = 2,483.78 × 1,682.82
  4. Step 4: Simplify right side
    1,792.44x = 4,179,746.25
  5. Step 5: Solve for x
    x = 4,179,746.25/1,792.44
  6. Step 6: Final answer
    x = 2,331.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.