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Finding the Fourth Proportional to 1,892.42, 2,838.73 and 1,788.54

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Solution

The fourth proportional to 1,892.42, 2,838.73 and 1,788.54 is: 2,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.42 : 2,838.73 = 1,788.54 : x
  2. Step 2: Convert to fraction form
    1,892.42/2,838.73 = 1,788.54/x
  3. Step 3: Cross multiply
    1,892.42x = 2,838.73 × 1,788.54
  4. Step 4: Simplify right side
    1,892.42x = 5,077,182.15
  5. Step 5: Solve for x
    x = 5,077,182.15/1,892.42
  6. Step 6: Final answer
    x = 2,682.90

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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.