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Finding the Fourth Proportional to 1,911.54, 2,860.07 and 1,131.96

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Solution

The fourth proportional to 1,911.54, 2,860.07 and 1,131.96 is: 1,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.54 : 2,860.07 = 1,131.96 : x
  2. Step 2: Convert to fraction form
    1,911.54/2,860.07 = 1,131.96/x
  3. Step 3: Cross multiply
    1,911.54x = 2,860.07 × 1,131.96
  4. Step 4: Simplify right side
    1,911.54x = 3,237,496.27
  5. Step 5: Solve for x
    x = 3,237,496.27/1,911.54
  6. Step 6: Final answer
    x = 1,693.66

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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.