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Finding the Fourth Proportional to 1,946.53, 2,671.63 and 1,731.88

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Solution

The fourth proportional to 1,946.53, 2,671.63 and 1,731.88 is: 2,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.53 : 2,671.63 = 1,731.88 : x
  2. Step 2: Convert to fraction form
    1,946.53/2,671.63 = 1,731.88/x
  3. Step 3: Cross multiply
    1,946.53x = 2,671.63 × 1,731.88
  4. Step 4: Simplify right side
    1,946.53x = 4,626,942.56
  5. Step 5: Solve for x
    x = 4,626,942.56/1,946.53
  6. Step 6: Final answer
    x = 2,377.02

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Why These Related Problems?

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