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Finding the Fourth Proportional to 3,104.46, 4,284 and 1,777.86

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Solution

The fourth proportional to 3,104.46, 4,284 and 1,777.86 is: 2,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.46 : 4,284 = 1,777.86 : x
  2. Step 2: Convert to fraction form
    3,104.46/4,284 = 1,777.86/x
  3. Step 3: Cross multiply
    3,104.46x = 4,284 × 1,777.86
  4. Step 4: Simplify right side
    3,104.46x = 7,616,352.24
  5. Step 5: Solve for x
    x = 7,616,352.24/3,104.46
  6. Step 6: Final answer
    x = 2,453.36

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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.