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Finding the Fourth Proportional to 2,258.97, 3,114.04 and 1,942.86

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Solution

The fourth proportional to 2,258.97, 3,114.04 and 1,942.86 is: 2,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.97 : 3,114.04 = 1,942.86 : x
  2. Step 2: Convert to fraction form
    2,258.97/3,114.04 = 1,942.86/x
  3. Step 3: Cross multiply
    2,258.97x = 3,114.04 × 1,942.86
  4. Step 4: Simplify right side
    2,258.97x = 6,050,143.75
  5. Step 5: Solve for x
    x = 6,050,143.75/2,258.97
  6. Step 6: Final answer
    x = 2,678.28

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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.