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Finding the Fourth Proportional to 3,109.55, 4,662.68 and 917.96

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Solution

The fourth proportional to 3,109.55, 4,662.68 and 917.96 is: 1,376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.55 : 4,662.68 = 917.96 : x
  2. Step 2: Convert to fraction form
    3,109.55/4,662.68 = 917.96/x
  3. Step 3: Cross multiply
    3,109.55x = 4,662.68 × 917.96
  4. Step 4: Simplify right side
    3,109.55x = 4,280,125.83
  5. Step 5: Solve for x
    x = 4,280,125.83/3,109.55
  6. Step 6: Final answer
    x = 1,376.45

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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.