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Finding the Fourth Proportional to 3,176.72, 4,383.76 and 1,760.37

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Solution

The fourth proportional to 3,176.72, 4,383.76 and 1,760.37 is: 2,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.72 : 4,383.76 = 1,760.37 : x
  2. Step 2: Convert to fraction form
    3,176.72/4,383.76 = 1,760.37/x
  3. Step 3: Cross multiply
    3,176.72x = 4,383.76 × 1,760.37
  4. Step 4: Simplify right side
    3,176.72x = 7,717,061.32
  5. Step 5: Solve for x
    x = 7,717,061.32/3,176.72
  6. Step 6: Final answer
    x = 2,429.25

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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.