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Finding the Fourth Proportional to 3,081.66, 4,621.82 and 890.34

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Solution

The fourth proportional to 3,081.66, 4,621.82 and 890.34 is: 1,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.66 : 4,621.82 = 890.34 : x
  2. Step 2: Convert to fraction form
    3,081.66/4,621.82 = 890.34/x
  3. Step 3: Cross multiply
    3,081.66x = 4,621.82 × 890.34
  4. Step 4: Simplify right side
    3,081.66x = 4,114,986.77
  5. Step 5: Solve for x
    x = 4,114,986.77/3,081.66
  6. Step 6: Final answer
    x = 1,335.31

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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.