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Finding the Fourth Proportional to 2,956.91, 4,432.96 and 1,106.99

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Solution

The fourth proportional to 2,956.91, 4,432.96 and 1,106.99 is: 1,659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.91 : 4,432.96 = 1,106.99 : x
  2. Step 2: Convert to fraction form
    2,956.91/4,432.96 = 1,106.99/x
  3. Step 3: Cross multiply
    2,956.91x = 4,432.96 × 1,106.99
  4. Step 4: Simplify right side
    2,956.91x = 4,907,238.23
  5. Step 5: Solve for x
    x = 4,907,238.23/2,956.91
  6. Step 6: Final answer
    x = 1,659.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.