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Finding the Fourth Proportional to 2,790.30, 4,185.49 and 842.59

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Solution

The fourth proportional to 2,790.30, 4,185.49 and 842.59 is: 1,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.30 : 4,185.49 = 842.59 : x
  2. Step 2: Convert to fraction form
    2,790.30/4,185.49 = 842.59/x
  3. Step 3: Cross multiply
    2,790.30x = 4,185.49 × 842.59
  4. Step 4: Simplify right side
    2,790.30x = 3,526,652.02
  5. Step 5: Solve for x
    x = 3,526,652.02/2,790.30
  6. Step 6: Final answer
    x = 1,263.90

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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.