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Finding the Fourth Proportional to 1,760.97, 2,429.83 and 1,014.96

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Solution

The fourth proportional to 1,760.97, 2,429.83 and 1,014.96 is: 1,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.97 : 2,429.83 = 1,014.96 : x
  2. Step 2: Convert to fraction form
    1,760.97/2,429.83 = 1,014.96/x
  3. Step 3: Cross multiply
    1,760.97x = 2,429.83 × 1,014.96
  4. Step 4: Simplify right side
    1,760.97x = 2,466,190.64
  5. Step 5: Solve for x
    x = 2,466,190.64/1,760.97
  6. Step 6: Final answer
    x = 1,400.47

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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.