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Finding the Fourth Proportional to 3,176.79, 4,383.91 and 1,760.42

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Solution

The fourth proportional to 3,176.79, 4,383.91 and 1,760.42 is: 2,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.79 : 4,383.91 = 1,760.42 : x
  2. Step 2: Convert to fraction form
    3,176.79/4,383.91 = 1,760.42/x
  3. Step 3: Cross multiply
    3,176.79x = 4,383.91 × 1,760.42
  4. Step 4: Simplify right side
    3,176.79x = 7,717,527.36
  5. Step 5: Solve for x
    x = 7,717,527.36/3,176.79
  6. Step 6: Final answer
    x = 2,429.35

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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.