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Finding the Fourth Proportional to 1,713.53, 2,570.69 and 543.53

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Solution

The fourth proportional to 1,713.53, 2,570.69 and 543.53 is: 815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.53 : 2,570.69 = 543.53 : x
  2. Step 2: Convert to fraction form
    1,713.53/2,570.69 = 543.53/x
  3. Step 3: Cross multiply
    1,713.53x = 2,570.69 × 543.53
  4. Step 4: Simplify right side
    1,713.53x = 1,397,254.92
  5. Step 5: Solve for x
    x = 1,397,254.92/1,713.53
  6. Step 6: Final answer
    x = 815.42

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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.