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Finding the Fourth Proportional to 2,790.25, 4,185.27 and 842.40

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Solution

The fourth proportional to 2,790.25, 4,185.27 and 842.40 is: 1,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790.25 : 4,185.27 = 842.40 : x
  2. Step 2: Convert to fraction form
    2,790.25/4,185.27 = 842.40/x
  3. Step 3: Cross multiply
    2,790.25x = 4,185.27 × 842.40
  4. Step 4: Simplify right side
    2,790.25x = 3,525,671.45
  5. Step 5: Solve for x
    x = 3,525,671.45/2,790.25
  6. Step 6: Final answer
    x = 1,263.57

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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.