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Finding the Fourth Proportional to 1,767.89, 2,638.94 and 1,639.42

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Solution

The fourth proportional to 1,767.89, 2,638.94 and 1,639.42 is: 2,447.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.89 : 2,638.94 = 1,639.42 : x
  2. Step 2: Convert to fraction form
    1,767.89/2,638.94 = 1,639.42/x
  3. Step 3: Cross multiply
    1,767.89x = 2,638.94 × 1,639.42
  4. Step 4: Simplify right side
    1,767.89x = 4,326,316.22
  5. Step 5: Solve for x
    x = 4,326,316.22/1,767.89
  6. Step 6: Final answer
    x = 2,447.16

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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.