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Finding the Fourth Proportional to 3,176.57, 4,383.65 and 1,760.33

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Solution

The fourth proportional to 3,176.57, 4,383.65 and 1,760.33 is: 2,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.57 : 4,383.65 = 1,760.33 : x
  2. Step 2: Convert to fraction form
    3,176.57/4,383.65 = 1,760.33/x
  3. Step 3: Cross multiply
    3,176.57x = 4,383.65 × 1,760.33
  4. Step 4: Simplify right side
    3,176.57x = 7,716,639.88
  5. Step 5: Solve for x
    x = 7,716,639.88/3,176.57
  6. Step 6: Final answer
    x = 2,429.24

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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.