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Finding the Fourth Proportional to 2,723.33, 4,085.38 and 968.77

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Solution

The fourth proportional to 2,723.33, 4,085.38 and 968.77 is: 1,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.33 : 4,085.38 = 968.77 : x
  2. Step 2: Convert to fraction form
    2,723.33/4,085.38 = 968.77/x
  3. Step 3: Cross multiply
    2,723.33x = 4,085.38 × 968.77
  4. Step 4: Simplify right side
    2,723.33x = 3,957,800.37
  5. Step 5: Solve for x
    x = 3,957,800.37/2,723.33
  6. Step 6: Final answer
    x = 1,453.30

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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.