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Finding the Fourth Proportional to 1,946.77, 2,672.97 and 1,896.03

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Solution

The fourth proportional to 1,946.77, 2,672.97 and 1,896.03 is: 2,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.77 : 2,672.97 = 1,896.03 : x
  2. Step 2: Convert to fraction form
    1,946.77/2,672.97 = 1,896.03/x
  3. Step 3: Cross multiply
    1,946.77x = 2,672.97 × 1,896.03
  4. Step 4: Simplify right side
    1,946.77x = 5,068,031.31
  5. Step 5: Solve for x
    x = 5,068,031.31/1,946.77
  6. Step 6: Final answer
    x = 2,603.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.