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Finding the Fourth Proportional to 2,783.91, 3,842.26 and 2,119.51

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Solution

The fourth proportional to 2,783.91, 3,842.26 and 2,119.51 is: 2,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.91 : 3,842.26 = 2,119.51 : x
  2. Step 2: Convert to fraction form
    2,783.91/3,842.26 = 2,119.51/x
  3. Step 3: Cross multiply
    2,783.91x = 3,842.26 × 2,119.51
  4. Step 4: Simplify right side
    2,783.91x = 8,143,693.59
  5. Step 5: Solve for x
    x = 8,143,693.59/2,783.91
  6. Step 6: Final answer
    x = 2,925.27

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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.