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Finding the Fourth Proportional to 2,161.93, 3,245.90 and 1,502.25

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Solution

The fourth proportional to 2,161.93, 3,245.90 and 1,502.25 is: 2,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.93 : 3,245.90 = 1,502.25 : x
  2. Step 2: Convert to fraction form
    2,161.93/3,245.90 = 1,502.25/x
  3. Step 3: Cross multiply
    2,161.93x = 3,245.90 × 1,502.25
  4. Step 4: Simplify right side
    2,161.93x = 4,876,145.76
  5. Step 5: Solve for x
    x = 4,876,145.76/2,161.93
  6. Step 6: Final answer
    x = 2,255.46

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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.