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Finding the Fourth Proportional to 2,714.80, 4,072.56 and 983.44

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Solution

The fourth proportional to 2,714.80, 4,072.56 and 983.44 is: 1,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.80 : 4,072.56 = 983.44 : x
  2. Step 2: Convert to fraction form
    2,714.80/4,072.56 = 983.44/x
  3. Step 3: Cross multiply
    2,714.80x = 4,072.56 × 983.44
  4. Step 4: Simplify right side
    2,714.80x = 4,005,118.41
  5. Step 5: Solve for x
    x = 4,005,118.41/2,714.80
  6. Step 6: Final answer
    x = 1,475.29

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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.