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Finding the Fourth Proportional to 2,551.68, 3,517.94 and 1,665.95

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Solution

The fourth proportional to 2,551.68, 3,517.94 and 1,665.95 is: 2,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.68 : 3,517.94 = 1,665.95 : x
  2. Step 2: Convert to fraction form
    2,551.68/3,517.94 = 1,665.95/x
  3. Step 3: Cross multiply
    2,551.68x = 3,517.94 × 1,665.95
  4. Step 4: Simplify right side
    2,551.68x = 5,860,686.22
  5. Step 5: Solve for x
    x = 5,860,686.22/2,551.68
  6. Step 6: Final answer
    x = 2,296.80

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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.