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Finding the Fourth Proportional to 1,760.50, 2,426.16 and 1,262.29

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Solution

The fourth proportional to 1,760.50, 2,426.16 and 1,262.29 is: 1,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.50 : 2,426.16 = 1,262.29 : x
  2. Step 2: Convert to fraction form
    1,760.50/2,426.16 = 1,262.29/x
  3. Step 3: Cross multiply
    1,760.50x = 2,426.16 × 1,262.29
  4. Step 4: Simplify right side
    1,760.50x = 3,062,517.51
  5. Step 5: Solve for x
    x = 3,062,517.51/1,760.50
  6. Step 6: Final answer
    x = 1,739.57

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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.