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Finding the Fourth Proportional to 2,305, 3,454.38 and 1,263.44

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Solution

The fourth proportional to 2,305, 3,454.38 and 1,263.44 is: 1,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 3,454.38 = 1,263.44 : x
  2. Step 2: Convert to fraction form
    2,305/3,454.38 = 1,263.44/x
  3. Step 3: Cross multiply
    2,305x = 3,454.38 × 1,263.44
  4. Step 4: Simplify right side
    2,305x = 4,364,401.87
  5. Step 5: Solve for x
    x = 4,364,401.87/2,305
  6. Step 6: Final answer
    x = 1,893.45

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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.