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Finding the Fourth Proportional to 1,930.50, 2,664.11 and 1,145.22

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Solution

The fourth proportional to 1,930.50, 2,664.11 and 1,145.22 is: 1,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.50 : 2,664.11 = 1,145.22 : x
  2. Step 2: Convert to fraction form
    1,930.50/2,664.11 = 1,145.22/x
  3. Step 3: Cross multiply
    1,930.50x = 2,664.11 × 1,145.22
  4. Step 4: Simplify right side
    1,930.50x = 3,050,986.33
  5. Step 5: Solve for x
    x = 3,050,986.33/1,930.50
  6. Step 6: Final answer
    x = 1,580.41

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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.