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Finding the Fourth Proportional to 1,757.80, 2,426.20 and 1,261.93

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Solution

The fourth proportional to 1,757.80, 2,426.20 and 1,261.93 is: 1,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.80 : 2,426.20 = 1,261.93 : x
  2. Step 2: Convert to fraction form
    1,757.80/2,426.20 = 1,261.93/x
  3. Step 3: Cross multiply
    1,757.80x = 2,426.20 × 1,261.93
  4. Step 4: Simplify right side
    1,757.80x = 3,061,696.99
  5. Step 5: Solve for x
    x = 3,061,696.99/1,757.80
  6. Step 6: Final answer
    x = 1,741.78

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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.