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Finding the Fourth Proportional to 1,760.69, 2,639.28 and 883.82

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Solution

The fourth proportional to 1,760.69, 2,639.28 and 883.82 is: 1,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.69 : 2,639.28 = 883.82 : x
  2. Step 2: Convert to fraction form
    1,760.69/2,639.28 = 883.82/x
  3. Step 3: Cross multiply
    1,760.69x = 2,639.28 × 883.82
  4. Step 4: Simplify right side
    1,760.69x = 2,332,648.45
  5. Step 5: Solve for x
    x = 2,332,648.45/1,760.69
  6. Step 6: Final answer
    x = 1,324.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.