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Finding the Fourth Proportional to 1,754.26, 2,420.99 and 968.31

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Solution

The fourth proportional to 1,754.26, 2,420.99 and 968.31 is: 1,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.26 : 2,420.99 = 968.31 : x
  2. Step 2: Convert to fraction form
    1,754.26/2,420.99 = 968.31/x
  3. Step 3: Cross multiply
    1,754.26x = 2,420.99 × 968.31
  4. Step 4: Simplify right side
    1,754.26x = 2,344,268.83
  5. Step 5: Solve for x
    x = 2,344,268.83/1,754.26
  6. Step 6: Final answer
    x = 1,336.33

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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.