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Finding the Fourth Proportional to 1,426.82, 1,968.63 and 895.96

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Solution

The fourth proportional to 1,426.82, 1,968.63 and 895.96 is: 1,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.82 : 1,968.63 = 895.96 : x
  2. Step 2: Convert to fraction form
    1,426.82/1,968.63 = 895.96/x
  3. Step 3: Cross multiply
    1,426.82x = 1,968.63 × 895.96
  4. Step 4: Simplify right side
    1,426.82x = 1,763,813.73
  5. Step 5: Solve for x
    x = 1,763,813.73/1,426.82
  6. Step 6: Final answer
    x = 1,236.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.