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Finding the Fourth Proportional to 1,956.71, 2,935.05 and 1,842.59

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Solution

The fourth proportional to 1,956.71, 2,935.05 and 1,842.59 is: 2,763.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.71 : 2,935.05 = 1,842.59 : x
  2. Step 2: Convert to fraction form
    1,956.71/2,935.05 = 1,842.59/x
  3. Step 3: Cross multiply
    1,956.71x = 2,935.05 × 1,842.59
  4. Step 4: Simplify right side
    1,956.71x = 5,408,079.10
  5. Step 5: Solve for x
    x = 5,408,079.10/1,956.71
  6. Step 6: Final answer
    x = 2,763.87

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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.