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Finding the Fourth Proportional to 1,760.81, 2,428.92 and 1,256.78

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Solution

The fourth proportional to 1,760.81, 2,428.92 and 1,256.78 is: 1,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.81 : 2,428.92 = 1,256.78 : x
  2. Step 2: Convert to fraction form
    1,760.81/2,428.92 = 1,256.78/x
  3. Step 3: Cross multiply
    1,760.81x = 2,428.92 × 1,256.78
  4. Step 4: Simplify right side
    1,760.81x = 3,052,611.25
  5. Step 5: Solve for x
    x = 3,052,611.25/1,760.81
  6. Step 6: Final answer
    x = 1,733.64

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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.