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Finding the Fourth Proportional to 3,451.79, 5,178.29 and 1,261.96

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Solution

The fourth proportional to 3,451.79, 5,178.29 and 1,261.96 is: 1,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.79 : 5,178.29 = 1,261.96 : x
  2. Step 2: Convert to fraction form
    3,451.79/5,178.29 = 1,261.96/x
  3. Step 3: Cross multiply
    3,451.79x = 5,178.29 × 1,261.96
  4. Step 4: Simplify right side
    3,451.79x = 6,534,794.85
  5. Step 5: Solve for x
    x = 6,534,794.85/3,451.79
  6. Step 6: Final answer
    x = 1,893.16

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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.