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Finding the Fourth Proportional to 2,975.99, 4,106.09 and 1,796.63

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Solution

The fourth proportional to 2,975.99, 4,106.09 and 1,796.63 is: 2,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.99 : 4,106.09 = 1,796.63 : x
  2. Step 2: Convert to fraction form
    2,975.99/4,106.09 = 1,796.63/x
  3. Step 3: Cross multiply
    2,975.99x = 4,106.09 × 1,796.63
  4. Step 4: Simplify right side
    2,975.99x = 7,377,094.96
  5. Step 5: Solve for x
    x = 7,377,094.96/2,975.99
  6. Step 6: Final answer
    x = 2,478.88

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