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Finding the Fourth Proportional to 1,717.06, 2,574.26 and 851.98

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Solution

The fourth proportional to 1,717.06, 2,574.26 and 851.98 is: 1,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.06 : 2,574.26 = 851.98 : x
  2. Step 2: Convert to fraction form
    1,717.06/2,574.26 = 851.98/x
  3. Step 3: Cross multiply
    1,717.06x = 2,574.26 × 851.98
  4. Step 4: Simplify right side
    1,717.06x = 2,193,218.03
  5. Step 5: Solve for x
    x = 2,193,218.03/1,717.06
  6. Step 6: Final answer
    x = 1,277.31

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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.