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Finding the Fourth Proportional to 2,865.78, 3,956.54 and 2,201.34

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Solution

The fourth proportional to 2,865.78, 3,956.54 and 2,201.34 is: 3,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.78 : 3,956.54 = 2,201.34 : x
  2. Step 2: Convert to fraction form
    2,865.78/3,956.54 = 2,201.34/x
  3. Step 3: Cross multiply
    2,865.78x = 3,956.54 × 2,201.34
  4. Step 4: Simplify right side
    2,865.78x = 8,709,689.76
  5. Step 5: Solve for x
    x = 8,709,689.76/2,865.78
  6. Step 6: Final answer
    x = 3,039.20

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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.