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Finding the Fourth Proportional to 2,097.46, 3,147.60 and 1,447.03

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Solution

The fourth proportional to 2,097.46, 3,147.60 and 1,447.03 is: 2,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.46 : 3,147.60 = 1,447.03 : x
  2. Step 2: Convert to fraction form
    2,097.46/3,147.60 = 1,447.03/x
  3. Step 3: Cross multiply
    2,097.46x = 3,147.60 × 1,447.03
  4. Step 4: Simplify right side
    2,097.46x = 4,554,671.63
  5. Step 5: Solve for x
    x = 4,554,671.63/2,097.46
  6. Step 6: Final answer
    x = 2,171.52

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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.