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Finding the Fourth Proportional to 2,097.75, 3,147.19 and 1,505.48

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Solution

The fourth proportional to 2,097.75, 3,147.19 and 1,505.48 is: 2,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.75 : 3,147.19 = 1,505.48 : x
  2. Step 2: Convert to fraction form
    2,097.75/3,147.19 = 1,505.48/x
  3. Step 3: Cross multiply
    2,097.75x = 3,147.19 × 1,505.48
  4. Step 4: Simplify right side
    2,097.75x = 4,738,012.10
  5. Step 5: Solve for x
    x = 4,738,012.10/2,097.75
  6. Step 6: Final answer
    x = 2,258.61

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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.