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Finding the Fourth Proportional to 2,876.08, 3,968.64 and 1,616.88

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Solution

The fourth proportional to 2,876.08, 3,968.64 and 1,616.88 is: 2,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.08 : 3,968.64 = 1,616.88 : x
  2. Step 2: Convert to fraction form
    2,876.08/3,968.64 = 1,616.88/x
  3. Step 3: Cross multiply
    2,876.08x = 3,968.64 × 1,616.88
  4. Step 4: Simplify right side
    2,876.08x = 6,416,814.64
  5. Step 5: Solve for x
    x = 6,416,814.64/2,876.08
  6. Step 6: Final answer
    x = 2,231.10

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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.