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Finding the Fourth Proportional to 1,930.85, 2,664.41 and 1,091.63

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Solution

The fourth proportional to 1,930.85, 2,664.41 and 1,091.63 is: 1,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.85 : 2,664.41 = 1,091.63 : x
  2. Step 2: Convert to fraction form
    1,930.85/2,664.41 = 1,091.63/x
  3. Step 3: Cross multiply
    1,930.85x = 2,664.41 × 1,091.63
  4. Step 4: Simplify right side
    1,930.85x = 2,908,549.89
  5. Step 5: Solve for x
    x = 2,908,549.89/1,930.85
  6. Step 6: Final answer
    x = 1,506.36

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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.