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Finding the Fourth Proportional to 3,109.05, 4,662.72 and 917.55

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Solution

The fourth proportional to 3,109.05, 4,662.72 and 917.55 is: 1,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.05 : 4,662.72 = 917.55 : x
  2. Step 2: Convert to fraction form
    3,109.05/4,662.72 = 917.55/x
  3. Step 3: Cross multiply
    3,109.05x = 4,662.72 × 917.55
  4. Step 4: Simplify right side
    3,109.05x = 4,278,278.74
  5. Step 5: Solve for x
    x = 4,278,278.74/3,109.05
  6. Step 6: Final answer
    x = 1,376.07

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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.