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Finding the Fourth Proportional to 2,881.89, 4,324.43 and 2,192.85

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Solution

The fourth proportional to 2,881.89, 4,324.43 and 2,192.85 is: 3,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.89 : 4,324.43 = 2,192.85 : x
  2. Step 2: Convert to fraction form
    2,881.89/4,324.43 = 2,192.85/x
  3. Step 3: Cross multiply
    2,881.89x = 4,324.43 × 2,192.85
  4. Step 4: Simplify right side
    2,881.89x = 9,482,831.81
  5. Step 5: Solve for x
    x = 9,482,831.81/2,881.89
  6. Step 6: Final answer
    x = 3,290.49

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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.