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Finding the Fourth Proportional to 1,426.68, 1,969.74 and 896.31

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Solution

The fourth proportional to 1,426.68, 1,969.74 and 896.31 is: 1,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.68 : 1,969.74 = 896.31 : x
  2. Step 2: Convert to fraction form
    1,426.68/1,969.74 = 896.31/x
  3. Step 3: Cross multiply
    1,426.68x = 1,969.74 × 896.31
  4. Step 4: Simplify right side
    1,426.68x = 1,765,497.66
  5. Step 5: Solve for x
    x = 1,765,497.66/1,426.68
  6. Step 6: Final answer
    x = 1,237.49

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Why These Related Problems?

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