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Finding the Fourth Proportional to 2,842.36, 4,268.34 and 1,856.86

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Solution

The fourth proportional to 2,842.36, 4,268.34 and 1,856.86 is: 2,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.36 : 4,268.34 = 1,856.86 : x
  2. Step 2: Convert to fraction form
    2,842.36/4,268.34 = 1,856.86/x
  3. Step 3: Cross multiply
    2,842.36x = 4,268.34 × 1,856.86
  4. Step 4: Simplify right side
    2,842.36x = 7,925,717.93
  5. Step 5: Solve for x
    x = 7,925,717.93/2,842.36
  6. Step 6: Final answer
    x = 2,788.43

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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.