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Finding the Fourth Proportional to 2,138.16, 3,194.04 and 1,548.09

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Solution

The fourth proportional to 2,138.16, 3,194.04 and 1,548.09 is: 2,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.16 : 3,194.04 = 1,548.09 : x
  2. Step 2: Convert to fraction form
    2,138.16/3,194.04 = 1,548.09/x
  3. Step 3: Cross multiply
    2,138.16x = 3,194.04 × 1,548.09
  4. Step 4: Simplify right side
    2,138.16x = 4,944,661.38
  5. Step 5: Solve for x
    x = 4,944,661.38/2,138.16
  6. Step 6: Final answer
    x = 2,312.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.