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Finding the Fourth Proportional to 3,197.16, 4,412.34 and 2,018.16

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Solution

The fourth proportional to 3,197.16, 4,412.34 and 2,018.16 is: 2,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.16 : 4,412.34 = 2,018.16 : x
  2. Step 2: Convert to fraction form
    3,197.16/4,412.34 = 2,018.16/x
  3. Step 3: Cross multiply
    3,197.16x = 4,412.34 × 2,018.16
  4. Step 4: Simplify right side
    3,197.16x = 8,904,808.09
  5. Step 5: Solve for x
    x = 8,904,808.09/3,197.16
  6. Step 6: Final answer
    x = 2,785.22

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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.