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Finding the Fourth Proportional to 1,713.64, 2,571 and 543.82

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Solution

The fourth proportional to 1,713.64, 2,571 and 543.82 is: 815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.64 : 2,571 = 543.82 : x
  2. Step 2: Convert to fraction form
    1,713.64/2,571 = 543.82/x
  3. Step 3: Cross multiply
    1,713.64x = 2,571 × 543.82
  4. Step 4: Simplify right side
    1,713.64x = 1,398,161.22
  5. Step 5: Solve for x
    x = 1,398,161.22/1,713.64
  6. Step 6: Final answer
    x = 815.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.