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Finding the Fourth Proportional to 2,645.92, 3,648.08 and 2,121.12

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Solution

The fourth proportional to 2,645.92, 3,648.08 and 2,121.12 is: 2,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.92 : 3,648.08 = 2,121.12 : x
  2. Step 2: Convert to fraction form
    2,645.92/3,648.08 = 2,121.12/x
  3. Step 3: Cross multiply
    2,645.92x = 3,648.08 × 2,121.12
  4. Step 4: Simplify right side
    2,645.92x = 7,738,015.45
  5. Step 5: Solve for x
    x = 7,738,015.45/2,645.92
  6. Step 6: Final answer
    x = 2,924.51

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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.