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Finding the Fourth Proportional to 2,848.47, 4,274.33 and 2,274.99

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Solution

The fourth proportional to 2,848.47, 4,274.33 and 2,274.99 is: 3,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.47 : 4,274.33 = 2,274.99 : x
  2. Step 2: Convert to fraction form
    2,848.47/4,274.33 = 2,274.99/x
  3. Step 3: Cross multiply
    2,848.47x = 4,274.33 × 2,274.99
  4. Step 4: Simplify right side
    2,848.47x = 9,724,058.01
  5. Step 5: Solve for x
    x = 9,724,058.01/2,848.47
  6. Step 6: Final answer
    x = 3,413.78

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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.