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Finding the Fourth Proportional to 3,183.74, 4,775.64 and 962.59

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Solution

The fourth proportional to 3,183.74, 4,775.64 and 962.59 is: 1,443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.74 : 4,775.64 = 962.59 : x
  2. Step 2: Convert to fraction form
    3,183.74/4,775.64 = 962.59/x
  3. Step 3: Cross multiply
    3,183.74x = 4,775.64 × 962.59
  4. Step 4: Simplify right side
    3,183.74x = 4,596,968.96
  5. Step 5: Solve for x
    x = 4,596,968.96/3,183.74
  6. Step 6: Final answer
    x = 1,443.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.