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Finding the Fourth Proportional to 1,638.54, 2,456.73 and 868.86

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Solution

The fourth proportional to 1,638.54, 2,456.73 and 868.86 is: 1,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.54 : 2,456.73 = 868.86 : x
  2. Step 2: Convert to fraction form
    1,638.54/2,456.73 = 868.86/x
  3. Step 3: Cross multiply
    1,638.54x = 2,456.73 × 868.86
  4. Step 4: Simplify right side
    1,638.54x = 2,134,554.43
  5. Step 5: Solve for x
    x = 2,134,554.43/1,638.54
  6. Step 6: Final answer
    x = 1,302.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.