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Finding the Fourth Proportional to 2,546.93, 3,516.02 and 1,944.47

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Solution

The fourth proportional to 2,546.93, 3,516.02 and 1,944.47 is: 2,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.93 : 3,516.02 = 1,944.47 : x
  2. Step 2: Convert to fraction form
    2,546.93/3,516.02 = 1,944.47/x
  3. Step 3: Cross multiply
    2,546.93x = 3,516.02 × 1,944.47
  4. Step 4: Simplify right side
    2,546.93x = 6,836,768.11
  5. Step 5: Solve for x
    x = 6,836,768.11/2,546.93
  6. Step 6: Final answer
    x = 2,684.32

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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.