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Finding the Fourth Proportional to 1,965.89, 2,714.31 and 1,304.12

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Solution

The fourth proportional to 1,965.89, 2,714.31 and 1,304.12 is: 1,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.89 : 2,714.31 = 1,304.12 : x
  2. Step 2: Convert to fraction form
    1,965.89/2,714.31 = 1,304.12/x
  3. Step 3: Cross multiply
    1,965.89x = 2,714.31 × 1,304.12
  4. Step 4: Simplify right side
    1,965.89x = 3,539,772.39
  5. Step 5: Solve for x
    x = 3,539,772.39/1,965.89
  6. Step 6: Final answer
    x = 1,800.60

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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.