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Finding the Fourth Proportional to 2,956.96, 4,434.06 and 1,724.68

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Solution

The fourth proportional to 2,956.96, 4,434.06 and 1,724.68 is: 2,586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.96 : 4,434.06 = 1,724.68 : x
  2. Step 2: Convert to fraction form
    2,956.96/4,434.06 = 1,724.68/x
  3. Step 3: Cross multiply
    2,956.96x = 4,434.06 × 1,724.68
  4. Step 4: Simplify right side
    2,956.96x = 7,647,334.60
  5. Step 5: Solve for x
    x = 7,647,334.60/2,956.96
  6. Step 6: Final answer
    x = 2,586.22

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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.