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Finding the Fourth Proportional to 2,908.08, 4,362.66 and 961.64

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Solution

The fourth proportional to 2,908.08, 4,362.66 and 961.64 is: 1,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.08 : 4,362.66 = 961.64 : x
  2. Step 2: Convert to fraction form
    2,908.08/4,362.66 = 961.64/x
  3. Step 3: Cross multiply
    2,908.08x = 4,362.66 × 961.64
  4. Step 4: Simplify right side
    2,908.08x = 4,195,308.36
  5. Step 5: Solve for x
    x = 4,195,308.36/2,908.08
  6. Step 6: Final answer
    x = 1,442.64

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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.