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Finding the Fourth Proportional to 2,885.94, 4,328.22 and 806.01

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Solution

The fourth proportional to 2,885.94, 4,328.22 and 806.01 is: 1,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.94 : 4,328.22 = 806.01 : x
  2. Step 2: Convert to fraction form
    2,885.94/4,328.22 = 806.01/x
  3. Step 3: Cross multiply
    2,885.94x = 4,328.22 × 806.01
  4. Step 4: Simplify right side
    2,885.94x = 3,488,566.96
  5. Step 5: Solve for x
    x = 3,488,566.96/2,885.94
  6. Step 6: Final answer
    x = 1,208.82

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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.