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Finding the Fourth Proportional to 2,776.88, 3,832.11 and 1,597.93

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Solution

The fourth proportional to 2,776.88, 3,832.11 and 1,597.93 is: 2,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.88 : 3,832.11 = 1,597.93 : x
  2. Step 2: Convert to fraction form
    2,776.88/3,832.11 = 1,597.93/x
  3. Step 3: Cross multiply
    2,776.88x = 3,832.11 × 1,597.93
  4. Step 4: Simplify right side
    2,776.88x = 6,123,433.95
  5. Step 5: Solve for x
    x = 6,123,433.95/2,776.88
  6. Step 6: Final answer
    x = 2,205.15

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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.