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Finding the Fourth Proportional to 2,874, 4,307.93 and 1,638.75

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Solution

The fourth proportional to 2,874, 4,307.93 and 1,638.75 is: 2,456.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874 : 4,307.93 = 1,638.75 : x
  2. Step 2: Convert to fraction form
    2,874/4,307.93 = 1,638.75/x
  3. Step 3: Cross multiply
    2,874x = 4,307.93 × 1,638.75
  4. Step 4: Simplify right side
    2,874x = 7,059,620.29
  5. Step 5: Solve for x
    x = 7,059,620.29/2,874
  6. Step 6: Final answer
    x = 2,456.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.