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Finding the Fourth Proportional to 2,830, 3,905.44 and 1,726

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Solution

The fourth proportional to 2,830, 3,905.44 and 1,726 is: 2,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830 : 3,905.44 = 1,726 : x
  2. Step 2: Convert to fraction form
    2,830/3,905.44 = 1,726/x
  3. Step 3: Cross multiply
    2,830x = 3,905.44 × 1,726
  4. Step 4: Simplify right side
    2,830x = 6,740,789.44
  5. Step 5: Solve for x
    x = 6,740,789.44/2,830
  6. Step 6: Final answer
    x = 2,381.90

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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.