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Finding the Fourth Proportional to 3,129, 4,318.05 and 1,731.78

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Solution

The fourth proportional to 3,129, 4,318.05 and 1,731.78 is: 2,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129 : 4,318.05 = 1,731.78 : x
  2. Step 2: Convert to fraction form
    3,129/4,318.05 = 1,731.78/x
  3. Step 3: Cross multiply
    3,129x = 4,318.05 × 1,731.78
  4. Step 4: Simplify right side
    3,129x = 7,477,912.63
  5. Step 5: Solve for x
    x = 7,477,912.63/3,129
  6. Step 6: Final answer
    x = 2,389.87

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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.