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Finding the Fourth Proportional to 2,138.94, 2,954.58 and 1,720.87

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Solution

The fourth proportional to 2,138.94, 2,954.58 and 1,720.87 is: 2,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.94 : 2,954.58 = 1,720.87 : x
  2. Step 2: Convert to fraction form
    2,138.94/2,954.58 = 1,720.87/x
  3. Step 3: Cross multiply
    2,138.94x = 2,954.58 × 1,720.87
  4. Step 4: Simplify right side
    2,138.94x = 5,084,448.08
  5. Step 5: Solve for x
    x = 5,084,448.08/2,138.94
  6. Step 6: Final answer
    x = 2,377.09

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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.