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Finding the Fourth Proportional to 2,063.90, 3,097.91 and 969.05

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Solution

The fourth proportional to 2,063.90, 3,097.91 and 969.05 is: 1,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.90 : 3,097.91 = 969.05 : x
  2. Step 2: Convert to fraction form
    2,063.90/3,097.91 = 969.05/x
  3. Step 3: Cross multiply
    2,063.90x = 3,097.91 × 969.05
  4. Step 4: Simplify right side
    2,063.90x = 3,002,009.35
  5. Step 5: Solve for x
    x = 3,002,009.35/2,063.90
  6. Step 6: Final answer
    x = 1,454.54

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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.