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Finding the Fourth Proportional to 3,109.84, 4,664.84 and 889

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Solution

The fourth proportional to 3,109.84, 4,664.84 and 889 is: 1,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.84 : 4,664.84 = 889 : x
  2. Step 2: Convert to fraction form
    3,109.84/4,664.84 = 889/x
  3. Step 3: Cross multiply
    3,109.84x = 4,664.84 × 889
  4. Step 4: Simplify right side
    3,109.84x = 4,147,042.76
  5. Step 5: Solve for x
    x = 4,147,042.76/3,109.84
  6. Step 6: Final answer
    x = 1,333.52

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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.