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Finding the Fourth Proportional to 2,254.94, 3,384.82 and 1,893.68

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Solution

The fourth proportional to 2,254.94, 3,384.82 and 1,893.68 is: 2,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.94 : 3,384.82 = 1,893.68 : x
  2. Step 2: Convert to fraction form
    2,254.94/3,384.82 = 1,893.68/x
  3. Step 3: Cross multiply
    2,254.94x = 3,384.82 × 1,893.68
  4. Step 4: Simplify right side
    2,254.94x = 6,409,765.94
  5. Step 5: Solve for x
    x = 6,409,765.94/2,254.94
  6. Step 6: Final answer
    x = 2,842.54

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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.