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Finding the Fourth Proportional to 2,063.35, 3,095.16 and 968.77

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Solution

The fourth proportional to 2,063.35, 3,095.16 and 968.77 is: 1,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.35 : 3,095.16 = 968.77 : x
  2. Step 2: Convert to fraction form
    2,063.35/3,095.16 = 968.77/x
  3. Step 3: Cross multiply
    2,063.35x = 3,095.16 × 968.77
  4. Step 4: Simplify right side
    2,063.35x = 2,998,498.15
  5. Step 5: Solve for x
    x = 2,998,498.15/2,063.35
  6. Step 6: Final answer
    x = 1,453.22

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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.