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Finding the Fourth Proportional to 1,760.06, 2,428.70 and 1,139.06

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Solution

The fourth proportional to 1,760.06, 2,428.70 and 1,139.06 is: 1,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.06 : 2,428.70 = 1,139.06 : x
  2. Step 2: Convert to fraction form
    1,760.06/2,428.70 = 1,139.06/x
  3. Step 3: Cross multiply
    1,760.06x = 2,428.70 × 1,139.06
  4. Step 4: Simplify right side
    1,760.06x = 2,766,435.02
  5. Step 5: Solve for x
    x = 2,766,435.02/1,760.06
  6. Step 6: Final answer
    x = 1,571.78

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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.