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Finding the Fourth Proportional to 3,103.98, 4,282.77 and 1,924.48

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Solution

The fourth proportional to 3,103.98, 4,282.77 and 1,924.48 is: 2,655.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.98 : 4,282.77 = 1,924.48 : x
  2. Step 2: Convert to fraction form
    3,103.98/4,282.77 = 1,924.48/x
  3. Step 3: Cross multiply
    3,103.98x = 4,282.77 × 1,924.48
  4. Step 4: Simplify right side
    3,103.98x = 8,242,105.21
  5. Step 5: Solve for x
    x = 8,242,105.21/3,103.98
  6. Step 6: Final answer
    x = 2,655.33

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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.