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Finding the Fourth Proportional to 2,179, 2,996.70 and 1,731.64

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Solution

The fourth proportional to 2,179, 2,996.70 and 1,731.64 is: 2,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179 : 2,996.70 = 1,731.64 : x
  2. Step 2: Convert to fraction form
    2,179/2,996.70 = 1,731.64/x
  3. Step 3: Cross multiply
    2,179x = 2,996.70 × 1,731.64
  4. Step 4: Simplify right side
    2,179x = 5,189,205.59
  5. Step 5: Solve for x
    x = 5,189,205.59/2,179
  6. Step 6: Final answer
    x = 2,381.46

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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.