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Finding the Fourth Proportional to 2,517.69, 3,776.61 and 1,201.58

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Solution

The fourth proportional to 2,517.69, 3,776.61 and 1,201.58 is: 1,802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.69 : 3,776.61 = 1,201.58 : x
  2. Step 2: Convert to fraction form
    2,517.69/3,776.61 = 1,201.58/x
  3. Step 3: Cross multiply
    2,517.69x = 3,776.61 × 1,201.58
  4. Step 4: Simplify right side
    2,517.69x = 4,537,897.38
  5. Step 5: Solve for x
    x = 4,537,897.38/2,517.69
  6. Step 6: Final answer
    x = 1,802.41

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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.