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Finding the Fourth Proportional to 2,632.14, 3,633.18 and 1,636.83

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Solution

The fourth proportional to 2,632.14, 3,633.18 and 1,636.83 is: 2,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.14 : 3,633.18 = 1,636.83 : x
  2. Step 2: Convert to fraction form
    2,632.14/3,633.18 = 1,636.83/x
  3. Step 3: Cross multiply
    2,632.14x = 3,633.18 × 1,636.83
  4. Step 4: Simplify right side
    2,632.14x = 5,946,898.02
  5. Step 5: Solve for x
    x = 5,946,898.02/2,632.14
  6. Step 6: Final answer
    x = 2,259.34

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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.