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Finding the Fourth Proportional to 1,956.89, 2,935.44 and 1,134.54

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Solution

The fourth proportional to 1,956.89, 2,935.44 and 1,134.54 is: 1,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.89 : 2,935.44 = 1,134.54 : x
  2. Step 2: Convert to fraction form
    1,956.89/2,935.44 = 1,134.54/x
  3. Step 3: Cross multiply
    1,956.89x = 2,935.44 × 1,134.54
  4. Step 4: Simplify right side
    1,956.89x = 3,330,374.10
  5. Step 5: Solve for x
    x = 3,330,374.10/1,956.89
  6. Step 6: Final answer
    x = 1,701.87

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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.