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Finding the Fourth Proportional to 2,886.36, 3,983.88 and 1,768.08

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Solution

The fourth proportional to 2,886.36, 3,983.88 and 1,768.08 is: 2,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.36 : 3,983.88 = 1,768.08 : x
  2. Step 2: Convert to fraction form
    2,886.36/3,983.88 = 1,768.08/x
  3. Step 3: Cross multiply
    2,886.36x = 3,983.88 × 1,768.08
  4. Step 4: Simplify right side
    2,886.36x = 7,043,818.55
  5. Step 5: Solve for x
    x = 7,043,818.55/2,886.36
  6. Step 6: Final answer
    x = 2,440.38

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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.