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Finding the Fourth Proportional to 1,917.69, 2,647.40 and 1,131.99

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Solution

The fourth proportional to 1,917.69, 2,647.40 and 1,131.99 is: 1,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.69 : 2,647.40 = 1,131.99 : x
  2. Step 2: Convert to fraction form
    1,917.69/2,647.40 = 1,131.99/x
  3. Step 3: Cross multiply
    1,917.69x = 2,647.40 × 1,131.99
  4. Step 4: Simplify right side
    1,917.69x = 2,996,830.33
  5. Step 5: Solve for x
    x = 2,996,830.33/1,917.69
  6. Step 6: Final answer
    x = 1,562.73

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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.