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Finding the Fourth Proportional to 2,832.03, 3,908.24 and 1,573.10

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Solution

The fourth proportional to 2,832.03, 3,908.24 and 1,573.10 is: 2,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.03 : 3,908.24 = 1,573.10 : x
  2. Step 2: Convert to fraction form
    2,832.03/3,908.24 = 1,573.10/x
  3. Step 3: Cross multiply
    2,832.03x = 3,908.24 × 1,573.10
  4. Step 4: Simplify right side
    2,832.03x = 6,148,024.94
  5. Step 5: Solve for x
    x = 6,148,024.94/2,832.03
  6. Step 6: Final answer
    x = 2,170.89

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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.