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Finding the Fourth Proportional to 2,900.88, 3,997.42 and 2,102.83

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Solution

The fourth proportional to 2,900.88, 3,997.42 and 2,102.83 is: 2,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.88 : 3,997.42 = 2,102.83 : x
  2. Step 2: Convert to fraction form
    2,900.88/3,997.42 = 2,102.83/x
  3. Step 3: Cross multiply
    2,900.88x = 3,997.42 × 2,102.83
  4. Step 4: Simplify right side
    2,900.88x = 8,405,879.45
  5. Step 5: Solve for x
    x = 8,405,879.45/2,900.88
  6. Step 6: Final answer
    x = 2,897.70

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