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Finding the Fourth Proportional to 2,063.64, 2,846.25 and 1,266.12

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Solution

The fourth proportional to 2,063.64, 2,846.25 and 1,266.12 is: 1,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.64 : 2,846.25 = 1,266.12 : x
  2. Step 2: Convert to fraction form
    2,063.64/2,846.25 = 1,266.12/x
  3. Step 3: Cross multiply
    2,063.64x = 2,846.25 × 1,266.12
  4. Step 4: Simplify right side
    2,063.64x = 3,603,694.05
  5. Step 5: Solve for x
    x = 3,603,694.05/2,063.64
  6. Step 6: Final answer
    x = 1,746.28

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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.