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Finding the Fourth Proportional to 3,176.66, 4,383.72 and 1,760.46

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Solution

The fourth proportional to 3,176.66, 4,383.72 and 1,760.46 is: 2,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.66 : 4,383.72 = 1,760.46 : x
  2. Step 2: Convert to fraction form
    3,176.66/4,383.72 = 1,760.46/x
  3. Step 3: Cross multiply
    3,176.66x = 4,383.72 × 1,760.46
  4. Step 4: Simplify right side
    3,176.66x = 7,717,363.71
  5. Step 5: Solve for x
    x = 7,717,363.71/3,176.66
  6. Step 6: Final answer
    x = 2,429.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.