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Finding the Fourth Proportional to 2,364.66, 3,539.70 and 2,163.06

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Solution

The fourth proportional to 2,364.66, 3,539.70 and 2,163.06 is: 3,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.66 : 3,539.70 = 2,163.06 : x
  2. Step 2: Convert to fraction form
    2,364.66/3,539.70 = 2,163.06/x
  3. Step 3: Cross multiply
    2,364.66x = 3,539.70 × 2,163.06
  4. Step 4: Simplify right side
    2,364.66x = 7,656,583.48
  5. Step 5: Solve for x
    x = 7,656,583.48/2,364.66
  6. Step 6: Final answer
    x = 3,237.92

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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.