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Finding the Fourth Proportional to 3,184.69, 4,777.04 and 1,885.25

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Solution

The fourth proportional to 3,184.69, 4,777.04 and 1,885.25 is: 2,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.69 : 4,777.04 = 1,885.25 : x
  2. Step 2: Convert to fraction form
    3,184.69/4,777.04 = 1,885.25/x
  3. Step 3: Cross multiply
    3,184.69x = 4,777.04 × 1,885.25
  4. Step 4: Simplify right side
    3,184.69x = 9,005,914.66
  5. Step 5: Solve for x
    x = 9,005,914.66/3,184.69
  6. Step 6: Final answer
    x = 2,827.88

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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.