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Finding the Fourth Proportional to 2,890, 3,987.93 and 1,828.09

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Solution

The fourth proportional to 2,890, 3,987.93 and 1,828.09 is: 2,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890 : 3,987.93 = 1,828.09 : x
  2. Step 2: Convert to fraction form
    2,890/3,987.93 = 1,828.09/x
  3. Step 3: Cross multiply
    2,890x = 3,987.93 × 1,828.09
  4. Step 4: Simplify right side
    2,890x = 7,290,294.95
  5. Step 5: Solve for x
    x = 7,290,294.95/2,890
  6. Step 6: Final answer
    x = 2,522.59

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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.