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Finding the Fourth Proportional to 3,103.86, 4,656.83 and 1,253.97

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Solution

The fourth proportional to 3,103.86, 4,656.83 and 1,253.97 is: 1,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.86 : 4,656.83 = 1,253.97 : x
  2. Step 2: Convert to fraction form
    3,103.86/4,656.83 = 1,253.97/x
  3. Step 3: Cross multiply
    3,103.86x = 4,656.83 × 1,253.97
  4. Step 4: Simplify right side
    3,103.86x = 5,839,518.85
  5. Step 5: Solve for x
    x = 5,839,518.85/3,103.86
  6. Step 6: Final answer
    x = 1,881.37

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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.