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Finding the Fourth Proportional to 2,881.73, 3,976.67 and 1,762.71

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Solution

The fourth proportional to 2,881.73, 3,976.67 and 1,762.71 is: 2,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.73 : 3,976.67 = 1,762.71 : x
  2. Step 2: Convert to fraction form
    2,881.73/3,976.67 = 1,762.71/x
  3. Step 3: Cross multiply
    2,881.73x = 3,976.67 × 1,762.71
  4. Step 4: Simplify right side
    2,881.73x = 7,009,720.38
  5. Step 5: Solve for x
    x = 7,009,720.38/2,881.73
  6. Step 6: Final answer
    x = 2,432.47

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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.