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Finding the Fourth Proportional to 2,161.61, 3,242.49 and 1,236.74

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Solution

The fourth proportional to 2,161.61, 3,242.49 and 1,236.74 is: 1,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.61 : 3,242.49 = 1,236.74 : x
  2. Step 2: Convert to fraction form
    2,161.61/3,242.49 = 1,236.74/x
  3. Step 3: Cross multiply
    2,161.61x = 3,242.49 × 1,236.74
  4. Step 4: Simplify right side
    2,161.61x = 4,010,117.08
  5. Step 5: Solve for x
    x = 4,010,117.08/2,161.61
  6. Step 6: Final answer
    x = 1,855.15

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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.