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Finding the Fourth Proportional to 2,790.08, 4,185.52 and 842.43

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Solution

The fourth proportional to 2,790.08, 4,185.52 and 842.43 is: 1,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.08 : 4,185.52 = 842.43 : x
  2. Step 2: Convert to fraction form
    2,790.08/4,185.52 = 842.43/x
  3. Step 3: Cross multiply
    2,790.08x = 4,185.52 × 842.43
  4. Step 4: Simplify right side
    2,790.08x = 3,526,003.40
  5. Step 5: Solve for x
    x = 3,526,003.40/2,790.08
  6. Step 6: Final answer
    x = 1,263.77

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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.