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Finding the Fourth Proportional to 2,863.78, 3,953.78 and 2,199.34

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Solution

The fourth proportional to 2,863.78, 3,953.78 and 2,199.34 is: 3,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.78 : 3,953.78 = 2,199.34 : x
  2. Step 2: Convert to fraction form
    2,863.78/3,953.78 = 2,199.34/x
  3. Step 3: Cross multiply
    2,863.78x = 3,953.78 × 2,199.34
  4. Step 4: Simplify right side
    2,863.78x = 8,695,706.51
  5. Step 5: Solve for x
    x = 8,695,706.51/2,863.78
  6. Step 6: Final answer
    x = 3,036.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.