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Finding the Fourth Proportional to 2,857.96, 4,285.02 and 1,608.64

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Solution

The fourth proportional to 2,857.96, 4,285.02 and 1,608.64 is: 2,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.96 : 4,285.02 = 1,608.64 : x
  2. Step 2: Convert to fraction form
    2,857.96/4,285.02 = 1,608.64/x
  3. Step 3: Cross multiply
    2,857.96x = 4,285.02 × 1,608.64
  4. Step 4: Simplify right side
    2,857.96x = 6,893,054.57
  5. Step 5: Solve for x
    x = 6,893,054.57/2,857.96
  6. Step 6: Final answer
    x = 2,411.88

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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.