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Finding the Fourth Proportional to 2,086.54, 2,880 and 1,247.82

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Solution

The fourth proportional to 2,086.54, 2,880 and 1,247.82 is: 1,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.54 : 2,880 = 1,247.82 : x
  2. Step 2: Convert to fraction form
    2,086.54/2,880 = 1,247.82/x
  3. Step 3: Cross multiply
    2,086.54x = 2,880 × 1,247.82
  4. Step 4: Simplify right side
    2,086.54x = 3,593,721.60
  5. Step 5: Solve for x
    x = 3,593,721.60/2,086.54
  6. Step 6: Final answer
    x = 1,722.34

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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.