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Finding the Fourth Proportional to 2,170.93, 3,249.92 and 1,478.29

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Solution

The fourth proportional to 2,170.93, 3,249.92 and 1,478.29 is: 2,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.93 : 3,249.92 = 1,478.29 : x
  2. Step 2: Convert to fraction form
    2,170.93/3,249.92 = 1,478.29/x
  3. Step 3: Cross multiply
    2,170.93x = 3,249.92 × 1,478.29
  4. Step 4: Simplify right side
    2,170.93x = 4,804,316.85
  5. Step 5: Solve for x
    x = 4,804,316.85/2,170.93
  6. Step 6: Final answer
    x = 2,213.02

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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.