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Finding the Fourth Proportional to 2,790.29, 4,185.32 and 842.44

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Solution

The fourth proportional to 2,790.29, 4,185.32 and 842.44 is: 1,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.29 : 4,185.32 = 842.44 : x
  2. Step 2: Convert to fraction form
    2,790.29/4,185.32 = 842.44/x
  3. Step 3: Cross multiply
    2,790.29x = 4,185.32 × 842.44
  4. Step 4: Simplify right side
    2,790.29x = 3,525,869.46
  5. Step 5: Solve for x
    x = 3,525,869.46/2,790.29
  6. Step 6: Final answer
    x = 1,263.62

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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.