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Finding the Fourth Proportional to 2,817.61, 3,888.38 and 1,638.77

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Solution

The fourth proportional to 2,817.61, 3,888.38 and 1,638.77 is: 2,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.61 : 3,888.38 = 1,638.77 : x
  2. Step 2: Convert to fraction form
    2,817.61/3,888.38 = 1,638.77/x
  3. Step 3: Cross multiply
    2,817.61x = 3,888.38 × 1,638.77
  4. Step 4: Simplify right side
    2,817.61x = 6,372,145.15
  5. Step 5: Solve for x
    x = 6,372,145.15/2,817.61
  6. Step 6: Final answer
    x = 2,261.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.