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Finding the Fourth Proportional to 2,678.16, 3,697.29 and 2,467.38

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Solution

The fourth proportional to 2,678.16, 3,697.29 and 2,467.38 is: 3,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.16 : 3,697.29 = 2,467.38 : x
  2. Step 2: Convert to fraction form
    2,678.16/3,697.29 = 2,467.38/x
  3. Step 3: Cross multiply
    2,678.16x = 3,697.29 × 2,467.38
  4. Step 4: Simplify right side
    2,678.16x = 9,122,619.40
  5. Step 5: Solve for x
    x = 9,122,619.40/2,678.16
  6. Step 6: Final answer
    x = 3,406.30

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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.