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Finding the Fourth Proportional to 1,956.95, 2,935.42 and 1,842.84

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Solution

The fourth proportional to 1,956.95, 2,935.42 and 1,842.84 is: 2,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.95 : 2,935.42 = 1,842.84 : x
  2. Step 2: Convert to fraction form
    1,956.95/2,935.42 = 1,842.84/x
  3. Step 3: Cross multiply
    1,956.95x = 2,935.42 × 1,842.84
  4. Step 4: Simplify right side
    1,956.95x = 5,409,509.39
  5. Step 5: Solve for x
    x = 5,409,509.39/1,956.95
  6. Step 6: Final answer
    x = 2,764.26

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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.