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Finding the Fourth Proportional to 3,066.32, 4,232.04 and 2,018

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Solution

The fourth proportional to 3,066.32, 4,232.04 and 2,018 is: 2,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.32 : 4,232.04 = 2,018 : x
  2. Step 2: Convert to fraction form
    3,066.32/4,232.04 = 2,018/x
  3. Step 3: Cross multiply
    3,066.32x = 4,232.04 × 2,018
  4. Step 4: Simplify right side
    3,066.32x = 8,540,256.72
  5. Step 5: Solve for x
    x = 8,540,256.72/3,066.32
  6. Step 6: Final answer
    x = 2,785.18

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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.