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Finding the Fourth Proportional to 2,956.66, 4,080.05 and 1,696.84

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Solution

The fourth proportional to 2,956.66, 4,080.05 and 1,696.84 is: 2,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.66 : 4,080.05 = 1,696.84 : x
  2. Step 2: Convert to fraction form
    2,956.66/4,080.05 = 1,696.84/x
  3. Step 3: Cross multiply
    2,956.66x = 4,080.05 × 1,696.84
  4. Step 4: Simplify right side
    2,956.66x = 6,923,163.16
  5. Step 5: Solve for x
    x = 6,923,163.16/2,956.66
  6. Step 6: Final answer
    x = 2,341.55

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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.