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Finding the Fourth Proportional to 1,426.42, 1,968.96 and 985.42

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Solution

The fourth proportional to 1,426.42, 1,968.96 and 985.42 is: 1,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.42 : 1,968.96 = 985.42 : x
  2. Step 2: Convert to fraction form
    1,426.42/1,968.96 = 985.42/x
  3. Step 3: Cross multiply
    1,426.42x = 1,968.96 × 985.42
  4. Step 4: Simplify right side
    1,426.42x = 1,940,252.56
  5. Step 5: Solve for x
    x = 1,940,252.56/1,426.42
  6. Step 6: Final answer
    x = 1,360.23

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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.