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Finding the Fourth Proportional to 3,207.54, 4,814.06 and 1,261.11

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Solution

The fourth proportional to 3,207.54, 4,814.06 and 1,261.11 is: 1,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.54 : 4,814.06 = 1,261.11 : x
  2. Step 2: Convert to fraction form
    3,207.54/4,814.06 = 1,261.11/x
  3. Step 3: Cross multiply
    3,207.54x = 4,814.06 × 1,261.11
  4. Step 4: Simplify right side
    3,207.54x = 6,071,052.90
  5. Step 5: Solve for x
    x = 6,071,052.90/3,207.54
  6. Step 6: Final answer
    x = 1,892.74

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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.