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Finding the Fourth Proportional to 1,805.25, 2,708.27 and 1,348.48

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Solution

The fourth proportional to 1,805.25, 2,708.27 and 1,348.48 is: 2,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.25 : 2,708.27 = 1,348.48 : x
  2. Step 2: Convert to fraction form
    1,805.25/2,708.27 = 1,348.48/x
  3. Step 3: Cross multiply
    1,805.25x = 2,708.27 × 1,348.48
  4. Step 4: Simplify right side
    1,805.25x = 3,652,049.63
  5. Step 5: Solve for x
    x = 3,652,049.63/1,805.25
  6. Step 6: Final answer
    x = 2,023.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.