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Finding the Fourth Proportional to 3,091.68, 4,633.68 and 1,553.12

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Solution

The fourth proportional to 3,091.68, 4,633.68 and 1,553.12 is: 2,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.68 : 4,633.68 = 1,553.12 : x
  2. Step 2: Convert to fraction form
    3,091.68/4,633.68 = 1,553.12/x
  3. Step 3: Cross multiply
    3,091.68x = 4,633.68 × 1,553.12
  4. Step 4: Simplify right side
    3,091.68x = 7,196,661.08
  5. Step 5: Solve for x
    x = 7,196,661.08/3,091.68
  6. Step 6: Final answer
    x = 2,327.75

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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.