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Finding the Fourth Proportional to 2,064.36, 2,849.11 and 1,434.54

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Solution

The fourth proportional to 2,064.36, 2,849.11 and 1,434.54 is: 1,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.36 : 2,849.11 = 1,434.54 : x
  2. Step 2: Convert to fraction form
    2,064.36/2,849.11 = 1,434.54/x
  3. Step 3: Cross multiply
    2,064.36x = 2,849.11 × 1,434.54
  4. Step 4: Simplify right side
    2,064.36x = 4,087,169.36
  5. Step 5: Solve for x
    x = 4,087,169.36/2,064.36
  6. Step 6: Final answer
    x = 1,979.87

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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.