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Finding the Fourth Proportional to 1,757.95, 2,422.63 and 1,259.73

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Solution

The fourth proportional to 1,757.95, 2,422.63 and 1,259.73 is: 1,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.95 : 2,422.63 = 1,259.73 : x
  2. Step 2: Convert to fraction form
    1,757.95/2,422.63 = 1,259.73/x
  3. Step 3: Cross multiply
    1,757.95x = 2,422.63 × 1,259.73
  4. Step 4: Simplify right side
    1,757.95x = 3,051,859.69
  5. Step 5: Solve for x
    x = 3,051,859.69/1,757.95
  6. Step 6: Final answer
    x = 1,736.03

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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.