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Finding the Fourth Proportional to 2,467.14, 3,695.84 and 2,005.44

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Solution

The fourth proportional to 2,467.14, 3,695.84 and 2,005.44 is: 3,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.14 : 3,695.84 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    2,467.14/3,695.84 = 2,005.44/x
  3. Step 3: Cross multiply
    2,467.14x = 3,695.84 × 2,005.44
  4. Step 4: Simplify right side
    2,467.14x = 7,411,785.37
  5. Step 5: Solve for x
    x = 7,411,785.37/2,467.14
  6. Step 6: Final answer
    x = 3,004.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.