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Finding the Fourth Proportional to 3,158, 4,358.06 and 1,760.76

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Solution

The fourth proportional to 3,158, 4,358.06 and 1,760.76 is: 2,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158 : 4,358.06 = 1,760.76 : x
  2. Step 2: Convert to fraction form
    3,158/4,358.06 = 1,760.76/x
  3. Step 3: Cross multiply
    3,158x = 4,358.06 × 1,760.76
  4. Step 4: Simplify right side
    3,158x = 7,673,497.73
  5. Step 5: Solve for x
    x = 7,673,497.73/3,158
  6. Step 6: Final answer
    x = 2,429.86

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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.