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Finding the Fourth Proportional to 1,930.06, 2,893.26 and 890.77

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Solution

The fourth proportional to 1,930.06, 2,893.26 and 890.77 is: 1,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.06 : 2,893.26 = 890.77 : x
  2. Step 2: Convert to fraction form
    1,930.06/2,893.26 = 890.77/x
  3. Step 3: Cross multiply
    1,930.06x = 2,893.26 × 890.77
  4. Step 4: Simplify right side
    1,930.06x = 2,577,229.21
  5. Step 5: Solve for x
    x = 2,577,229.21/1,930.06
  6. Step 6: Final answer
    x = 1,335.31

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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.