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Finding the Fourth Proportional to 1,761.96, 2,656.86 and 1,729.08

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Solution

The fourth proportional to 1,761.96, 2,656.86 and 1,729.08 is: 2,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.96 : 2,656.86 = 1,729.08 : x
  2. Step 2: Convert to fraction form
    1,761.96/2,656.86 = 1,729.08/x
  3. Step 3: Cross multiply
    1,761.96x = 2,656.86 × 1,729.08
  4. Step 4: Simplify right side
    1,761.96x = 4,593,923.49
  5. Step 5: Solve for x
    x = 4,593,923.49/1,761.96
  6. Step 6: Final answer
    x = 2,607.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.