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Finding the Fourth Proportional to 2,832.35, 3,910.19 and 1,713.57

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Solution

The fourth proportional to 2,832.35, 3,910.19 and 1,713.57 is: 2,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.35 : 3,910.19 = 1,713.57 : x
  2. Step 2: Convert to fraction form
    2,832.35/3,910.19 = 1,713.57/x
  3. Step 3: Cross multiply
    2,832.35x = 3,910.19 × 1,713.57
  4. Step 4: Simplify right side
    2,832.35x = 6,700,384.28
  5. Step 5: Solve for x
    x = 6,700,384.28/2,832.35
  6. Step 6: Final answer
    x = 2,365.66

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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.