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Finding the Fourth Proportional to 1,825.48, 2,738.27 and 714.85

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Solution

The fourth proportional to 1,825.48, 2,738.27 and 714.85 is: 1,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.48 : 2,738.27 = 714.85 : x
  2. Step 2: Convert to fraction form
    1,825.48/2,738.27 = 714.85/x
  3. Step 3: Cross multiply
    1,825.48x = 2,738.27 × 714.85
  4. Step 4: Simplify right side
    1,825.48x = 1,957,447.25
  5. Step 5: Solve for x
    x = 1,957,447.25/1,825.48
  6. Step 6: Final answer
    x = 1,072.29

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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.