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Finding the Fourth Proportional to 2,639.34, 3,642.14 and 1,644.62

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Solution

The fourth proportional to 2,639.34, 3,642.14 and 1,644.62 is: 2,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.34 : 3,642.14 = 1,644.62 : x
  2. Step 2: Convert to fraction form
    2,639.34/3,642.14 = 1,644.62/x
  3. Step 3: Cross multiply
    2,639.34x = 3,642.14 × 1,644.62
  4. Step 4: Simplify right side
    2,639.34x = 5,989,909.85
  5. Step 5: Solve for x
    x = 5,989,909.85/2,639.34
  6. Step 6: Final answer
    x = 2,269.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.