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Finding the Fourth Proportional to 3,109.34, 4,664.46 and 917.78

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Solution

The fourth proportional to 3,109.34, 4,664.46 and 917.78 is: 1,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.34 : 4,664.46 = 917.78 : x
  2. Step 2: Convert to fraction form
    3,109.34/4,664.46 = 917.78/x
  3. Step 3: Cross multiply
    3,109.34x = 4,664.46 × 917.78
  4. Step 4: Simplify right side
    3,109.34x = 4,280,951.87
  5. Step 5: Solve for x
    x = 4,280,951.87/3,109.34
  6. Step 6: Final answer
    x = 1,376.81

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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.