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Finding the Fourth Proportional to 1,426.82, 1,968.93 and 837.31

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Solution

The fourth proportional to 1,426.82, 1,968.93 and 837.31 is: 1,155.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.82 : 1,968.93 = 837.31 : x
  2. Step 2: Convert to fraction form
    1,426.82/1,968.93 = 837.31/x
  3. Step 3: Cross multiply
    1,426.82x = 1,968.93 × 837.31
  4. Step 4: Simplify right side
    1,426.82x = 1,648,604.78
  5. Step 5: Solve for x
    x = 1,648,604.78/1,426.82
  6. Step 6: Final answer
    x = 1,155.44

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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.