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Finding the Fourth Proportional to 1,951.44, 2,912.06 and 1,743.75

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Solution

The fourth proportional to 1,951.44, 2,912.06 and 1,743.75 is: 2,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.44 : 2,912.06 = 1,743.75 : x
  2. Step 2: Convert to fraction form
    1,951.44/2,912.06 = 1,743.75/x
  3. Step 3: Cross multiply
    1,951.44x = 2,912.06 × 1,743.75
  4. Step 4: Simplify right side
    1,951.44x = 5,077,895.91
  5. Step 5: Solve for x
    x = 5,077,895.91/1,951.44
  6. Step 6: Final answer
    x = 2,602.13

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Why These Related Problems?

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