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Finding the Fourth Proportional to 1,638.19, 2,260.67 and 892.16

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Solution

The fourth proportional to 1,638.19, 2,260.67 and 892.16 is: 1,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.19 : 2,260.67 = 892.16 : x
  2. Step 2: Convert to fraction form
    1,638.19/2,260.67 = 892.16/x
  3. Step 3: Cross multiply
    1,638.19x = 2,260.67 × 892.16
  4. Step 4: Simplify right side
    1,638.19x = 2,016,874.89
  5. Step 5: Solve for x
    x = 2,016,874.89/1,638.19
  6. Step 6: Final answer
    x = 1,231.16

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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.