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Finding the Fourth Proportional to 2,144.94, 2,958.63 and 1,389.69

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Solution

The fourth proportional to 2,144.94, 2,958.63 and 1,389.69 is: 1,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.94 : 2,958.63 = 1,389.69 : x
  2. Step 2: Convert to fraction form
    2,144.94/2,958.63 = 1,389.69/x
  3. Step 3: Cross multiply
    2,144.94x = 2,958.63 × 1,389.69
  4. Step 4: Simplify right side
    2,144.94x = 4,111,578.52
  5. Step 5: Solve for x
    x = 4,111,578.52/2,144.94
  6. Step 6: Final answer
    x = 1,916.87

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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.