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Finding the Fourth Proportional to 2,832.34, 3,907.41 and 1,697.38

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Solution

The fourth proportional to 2,832.34, 3,907.41 and 1,697.38 is: 2,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.34 : 3,907.41 = 1,697.38 : x
  2. Step 2: Convert to fraction form
    2,832.34/3,907.41 = 1,697.38/x
  3. Step 3: Cross multiply
    2,832.34x = 3,907.41 × 1,697.38
  4. Step 4: Simplify right side
    2,832.34x = 6,632,349.82
  5. Step 5: Solve for x
    x = 6,632,349.82/2,832.34
  6. Step 6: Final answer
    x = 2,341.65

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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.