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Finding the Fourth Proportional to 2,097.83, 3,147.81 and 1,485.47

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Solution

The fourth proportional to 2,097.83, 3,147.81 and 1,485.47 is: 2,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.83 : 3,147.81 = 1,485.47 : x
  2. Step 2: Convert to fraction form
    2,097.83/3,147.81 = 1,485.47/x
  3. Step 3: Cross multiply
    2,097.83x = 3,147.81 × 1,485.47
  4. Step 4: Simplify right side
    2,097.83x = 4,675,969.89
  5. Step 5: Solve for x
    x = 4,675,969.89/2,097.83
  6. Step 6: Final answer
    x = 2,228.96

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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.