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Finding the Fourth Proportional to 2,864.78, 3,955.16 and 2,200.34

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Solution

The fourth proportional to 2,864.78, 3,955.16 and 2,200.34 is: 3,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.78 : 3,955.16 = 2,200.34 : x
  2. Step 2: Convert to fraction form
    2,864.78/3,955.16 = 2,200.34/x
  3. Step 3: Cross multiply
    2,864.78x = 3,955.16 × 2,200.34
  4. Step 4: Simplify right side
    2,864.78x = 8,702,696.75
  5. Step 5: Solve for x
    x = 8,702,696.75/2,864.78
  6. Step 6: Final answer
    x = 3,037.82

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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.