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Finding the Fourth Proportional to 2,074.64, 3,110.09 and 757.48

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Solution

The fourth proportional to 2,074.64, 3,110.09 and 757.48 is: 1,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.64 : 3,110.09 = 757.48 : x
  2. Step 2: Convert to fraction form
    2,074.64/3,110.09 = 757.48/x
  3. Step 3: Cross multiply
    2,074.64x = 3,110.09 × 757.48
  4. Step 4: Simplify right side
    2,074.64x = 2,355,815.42
  5. Step 5: Solve for x
    x = 2,355,815.42/2,074.64
  6. Step 6: Final answer
    x = 1,135.53

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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.