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Finding the Fourth Proportional to 2,630.75, 3,630.62 and 1,636.07

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Solution

The fourth proportional to 2,630.75, 3,630.62 and 1,636.07 is: 2,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.75 : 3,630.62 = 1,636.07 : x
  2. Step 2: Convert to fraction form
    2,630.75/3,630.62 = 1,636.07/x
  3. Step 3: Cross multiply
    2,630.75x = 3,630.62 × 1,636.07
  4. Step 4: Simplify right side
    2,630.75x = 5,939,934.40
  5. Step 5: Solve for x
    x = 5,939,934.40/2,630.75
  6. Step 6: Final answer
    x = 2,257.89

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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.