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Finding the Fourth Proportional to 2,321.71, 3,204.43 and 1,575.91

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Solution

The fourth proportional to 2,321.71, 3,204.43 and 1,575.91 is: 2,175.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.71 : 3,204.43 = 1,575.91 : x
  2. Step 2: Convert to fraction form
    2,321.71/3,204.43 = 1,575.91/x
  3. Step 3: Cross multiply
    2,321.71x = 3,204.43 × 1,575.91
  4. Step 4: Simplify right side
    2,321.71x = 5,049,891.25
  5. Step 5: Solve for x
    x = 5,049,891.25/2,321.71
  6. Step 6: Final answer
    x = 2,175.08

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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.