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Finding the Fourth Proportional to 3,097.14, 4,268.14 and 2,211.40

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Solution

The fourth proportional to 3,097.14, 4,268.14 and 2,211.40 is: 3,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.14 : 4,268.14 = 2,211.40 : x
  2. Step 2: Convert to fraction form
    3,097.14/4,268.14 = 2,211.40/x
  3. Step 3: Cross multiply
    3,097.14x = 4,268.14 × 2,211.40
  4. Step 4: Simplify right side
    3,097.14x = 9,438,564.60
  5. Step 5: Solve for x
    x = 9,438,564.60/3,097.14
  6. Step 6: Final answer
    x = 3,047.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.