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Finding the Fourth Proportional to 2,208.92, 3,312.33 and 976.67

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Solution

The fourth proportional to 2,208.92, 3,312.33 and 976.67 is: 1,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.92 : 3,312.33 = 976.67 : x
  2. Step 2: Convert to fraction form
    2,208.92/3,312.33 = 976.67/x
  3. Step 3: Cross multiply
    2,208.92x = 3,312.33 × 976.67
  4. Step 4: Simplify right side
    2,208.92x = 3,235,036.78
  5. Step 5: Solve for x
    x = 3,235,036.78/2,208.92
  6. Step 6: Final answer
    x = 1,464.54

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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.