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Finding the Fourth Proportional to 1,734.25, 2,393.26 and 948.30

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Solution

The fourth proportional to 1,734.25, 2,393.26 and 948.30 is: 1,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.25 : 2,393.26 = 948.30 : x
  2. Step 2: Convert to fraction form
    1,734.25/2,393.26 = 948.30/x
  3. Step 3: Cross multiply
    1,734.25x = 2,393.26 × 948.30
  4. Step 4: Simplify right side
    1,734.25x = 2,269,523.72
  5. Step 5: Solve for x
    x = 2,269,523.72/1,734.25
  6. Step 6: Final answer
    x = 1,308.65

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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.