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Finding the Fourth Proportional to 1,414.99, 2,119.67 and 1,105.40

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Solution

The fourth proportional to 1,414.99, 2,119.67 and 1,105.40 is: 1,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.99 : 2,119.67 = 1,105.40 : x
  2. Step 2: Convert to fraction form
    1,414.99/2,119.67 = 1,105.40/x
  3. Step 3: Cross multiply
    1,414.99x = 2,119.67 × 1,105.40
  4. Step 4: Simplify right side
    1,414.99x = 2,343,067.09
  5. Step 5: Solve for x
    x = 2,343,067.09/1,414.99
  6. Step 6: Final answer
    x = 1,655.89

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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.