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Finding the Fourth Proportional to 2,975.65, 4,105.11 and 1,796.04

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Solution

The fourth proportional to 2,975.65, 4,105.11 and 1,796.04 is: 2,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.65 : 4,105.11 = 1,796.04 : x
  2. Step 2: Convert to fraction form
    2,975.65/4,105.11 = 1,796.04/x
  3. Step 3: Cross multiply
    2,975.65x = 4,105.11 × 1,796.04
  4. Step 4: Simplify right side
    2,975.65x = 7,372,941.76
  5. Step 5: Solve for x
    x = 7,372,941.76/2,975.65
  6. Step 6: Final answer
    x = 2,477.76

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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.