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Finding the Fourth Proportional to 2,832.32, 3,908.59 and 1,573.38

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Solution

The fourth proportional to 2,832.32, 3,908.59 and 1,573.38 is: 2,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.32 : 3,908.59 = 1,573.38 : x
  2. Step 2: Convert to fraction form
    2,832.32/3,908.59 = 1,573.38/x
  3. Step 3: Cross multiply
    2,832.32x = 3,908.59 × 1,573.38
  4. Step 4: Simplify right side
    2,832.32x = 6,149,693.40
  5. Step 5: Solve for x
    x = 6,149,693.40/2,832.32
  6. Step 6: Final answer
    x = 2,171.25

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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.