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Finding the Fourth Proportional to 2,956.70, 4,081.13 and 1,762.56

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Solution

The fourth proportional to 2,956.70, 4,081.13 and 1,762.56 is: 2,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.70 : 4,081.13 = 1,762.56 : x
  2. Step 2: Convert to fraction form
    2,956.70/4,081.13 = 1,762.56/x
  3. Step 3: Cross multiply
    2,956.70x = 4,081.13 × 1,762.56
  4. Step 4: Simplify right side
    2,956.70x = 7,193,244.20
  5. Step 5: Solve for x
    x = 7,193,244.20/2,956.70
  6. Step 6: Final answer
    x = 2,432.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.