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Finding the Fourth Proportional to 2,605.50, 3,907.80 and 851.76

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Solution

The fourth proportional to 2,605.50, 3,907.80 and 851.76 is: 1,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.50 : 3,907.80 = 851.76 : x
  2. Step 2: Convert to fraction form
    2,605.50/3,907.80 = 851.76/x
  3. Step 3: Cross multiply
    2,605.50x = 3,907.80 × 851.76
  4. Step 4: Simplify right side
    2,605.50x = 3,328,507.73
  5. Step 5: Solve for x
    x = 3,328,507.73/2,605.50
  6. Step 6: Final answer
    x = 1,277.49

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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.