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Finding the Fourth Proportional to 1,956.74, 2,936.78 and 1,032.96

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Solution

The fourth proportional to 1,956.74, 2,936.78 and 1,032.96 is: 1,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.74 : 2,936.78 = 1,032.96 : x
  2. Step 2: Convert to fraction form
    1,956.74/2,936.78 = 1,032.96/x
  3. Step 3: Cross multiply
    1,956.74x = 2,936.78 × 1,032.96
  4. Step 4: Simplify right side
    1,956.74x = 3,033,576.27
  5. Step 5: Solve for x
    x = 3,033,576.27/1,956.74
  6. Step 6: Final answer
    x = 1,550.32

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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.