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Finding the Fourth Proportional to 3,109.89, 4,664.18 and 918.03

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Solution

The fourth proportional to 3,109.89, 4,664.18 and 918.03 is: 1,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.89 : 4,664.18 = 918.03 : x
  2. Step 2: Convert to fraction form
    3,109.89/4,664.18 = 918.03/x
  3. Step 3: Cross multiply
    3,109.89x = 4,664.18 × 918.03
  4. Step 4: Simplify right side
    3,109.89x = 4,281,876.95
  5. Step 5: Solve for x
    x = 4,281,876.95/3,109.89
  6. Step 6: Final answer
    x = 1,376.86

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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.