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Finding the Fourth Proportional to 1,889.32, 2,821.41 and 1,792.12

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Solution

The fourth proportional to 1,889.32, 2,821.41 and 1,792.12 is: 2,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.32 : 2,821.41 = 1,792.12 : x
  2. Step 2: Convert to fraction form
    1,889.32/2,821.41 = 1,792.12/x
  3. Step 3: Cross multiply
    1,889.32x = 2,821.41 × 1,792.12
  4. Step 4: Simplify right side
    1,889.32x = 5,056,305.29
  5. Step 5: Solve for x
    x = 5,056,305.29/1,889.32
  6. Step 6: Final answer
    x = 2,676.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.