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Finding the Fourth Proportional to 1,966.37, 2,714.70 and 1,304.11

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Solution

The fourth proportional to 1,966.37, 2,714.70 and 1,304.11 is: 1,800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.37 : 2,714.70 = 1,304.11 : x
  2. Step 2: Convert to fraction form
    1,966.37/2,714.70 = 1,304.11/x
  3. Step 3: Cross multiply
    1,966.37x = 2,714.70 × 1,304.11
  4. Step 4: Simplify right side
    1,966.37x = 3,540,267.42
  5. Step 5: Solve for x
    x = 3,540,267.42/1,966.37
  6. Step 6: Final answer
    x = 1,800.41

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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.