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Finding the Fourth Proportional to 2,970.70, 4,099 and 1,644.34

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Solution

The fourth proportional to 2,970.70, 4,099 and 1,644.34 is: 2,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.70 : 4,099 = 1,644.34 : x
  2. Step 2: Convert to fraction form
    2,970.70/4,099 = 1,644.34/x
  3. Step 3: Cross multiply
    2,970.70x = 4,099 × 1,644.34
  4. Step 4: Simplify right side
    2,970.70x = 6,740,149.66
  5. Step 5: Solve for x
    x = 6,740,149.66/2,970.70
  6. Step 6: Final answer
    x = 2,268.88

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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.