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Finding the Fourth Proportional to 2,052.32, 2,832.17 and 1,168.07

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Solution

The fourth proportional to 2,052.32, 2,832.17 and 1,168.07 is: 1,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.32 : 2,832.17 = 1,168.07 : x
  2. Step 2: Convert to fraction form
    2,052.32/2,832.17 = 1,168.07/x
  3. Step 3: Cross multiply
    2,052.32x = 2,832.17 × 1,168.07
  4. Step 4: Simplify right side
    2,052.32x = 3,308,152.81
  5. Step 5: Solve for x
    x = 3,308,152.81/2,052.32
  6. Step 6: Final answer
    x = 1,611.91

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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.