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Finding the Fourth Proportional to 2,462, 3,694.24 and 1,291.60

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Solution

The fourth proportional to 2,462, 3,694.24 and 1,291.60 is: 1,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462 : 3,694.24 = 1,291.60 : x
  2. Step 2: Convert to fraction form
    2,462/3,694.24 = 1,291.60/x
  3. Step 3: Cross multiply
    2,462x = 3,694.24 × 1,291.60
  4. Step 4: Simplify right side
    2,462x = 4,771,480.38
  5. Step 5: Solve for x
    x = 4,771,480.38/2,462
  6. Step 6: Final answer
    x = 1,938.05

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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.