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Finding the Fourth Proportional to 2,857.04, 4,284.64 and 908.78

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Solution

The fourth proportional to 2,857.04, 4,284.64 and 908.78 is: 1,362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.04 : 4,284.64 = 908.78 : x
  2. Step 2: Convert to fraction form
    2,857.04/4,284.64 = 908.78/x
  3. Step 3: Cross multiply
    2,857.04x = 4,284.64 × 908.78
  4. Step 4: Simplify right side
    2,857.04x = 3,893,803.58
  5. Step 5: Solve for x
    x = 3,893,803.58/2,857.04
  6. Step 6: Final answer
    x = 1,362.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.