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Finding the Fourth Proportional to 2,636.40, 3,634.89 and 1,690.49

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Solution

The fourth proportional to 2,636.40, 3,634.89 and 1,690.49 is: 2,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.40 : 3,634.89 = 1,690.49 : x
  2. Step 2: Convert to fraction form
    2,636.40/3,634.89 = 1,690.49/x
  3. Step 3: Cross multiply
    2,636.40x = 3,634.89 × 1,690.49
  4. Step 4: Simplify right side
    2,636.40x = 6,144,727.02
  5. Step 5: Solve for x
    x = 6,144,727.02/2,636.40
  6. Step 6: Final answer
    x = 2,330.73

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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.