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Finding the Fourth Proportional to 3,176.74, 4,383.68 and 1,760.41

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Solution

The fourth proportional to 3,176.74, 4,383.68 and 1,760.41 is: 2,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.74 : 4,383.68 = 1,760.41 : x
  2. Step 2: Convert to fraction form
    3,176.74/4,383.68 = 1,760.41/x
  3. Step 3: Cross multiply
    3,176.74x = 4,383.68 × 1,760.41
  4. Step 4: Simplify right side
    3,176.74x = 7,717,074.11
  5. Step 5: Solve for x
    x = 7,717,074.11/3,176.74
  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.