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Finding the Fourth Proportional to 2,362.66, 3,536.70 and 2,161.06

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Solution

The fourth proportional to 2,362.66, 3,536.70 and 2,161.06 is: 3,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.66 : 3,536.70 = 2,161.06 : x
  2. Step 2: Convert to fraction form
    2,362.66/3,536.70 = 2,161.06/x
  3. Step 3: Cross multiply
    2,362.66x = 3,536.70 × 2,161.06
  4. Step 4: Simplify right side
    2,362.66x = 7,643,020.90
  5. Step 5: Solve for x
    x = 7,643,020.90/2,362.66
  6. Step 6: Final answer
    x = 3,234.92

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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.