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Finding the Fourth Proportional to 2,596.80, 3,897.60 and 2,050.56

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Solution

The fourth proportional to 2,596.80, 3,897.60 and 2,050.56 is: 3,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.80 : 3,897.60 = 2,050.56 : x
  2. Step 2: Convert to fraction form
    2,596.80/3,897.60 = 2,050.56/x
  3. Step 3: Cross multiply
    2,596.80x = 3,897.60 × 2,050.56
  4. Step 4: Simplify right side
    2,596.80x = 7,992,262.66
  5. Step 5: Solve for x
    x = 7,992,262.66/2,596.80
  6. Step 6: Final answer
    x = 3,077.74

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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.