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Finding the Fourth Proportional to 1,951.94, 2,926.37 and 1,027.01

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Solution

The fourth proportional to 1,951.94, 2,926.37 and 1,027.01 is: 1,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.94 : 2,926.37 = 1,027.01 : x
  2. Step 2: Convert to fraction form
    1,951.94/2,926.37 = 1,027.01/x
  3. Step 3: Cross multiply
    1,951.94x = 2,926.37 × 1,027.01
  4. Step 4: Simplify right side
    1,951.94x = 3,005,391.49
  5. Step 5: Solve for x
    x = 3,005,391.49/1,951.94
  6. Step 6: Final answer
    x = 1,539.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.