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Finding the Fourth Proportional to 2,474.70, 3,714.48 and 1,884.21

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Solution

The fourth proportional to 2,474.70, 3,714.48 and 1,884.21 is: 2,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.70 : 3,714.48 = 1,884.21 : x
  2. Step 2: Convert to fraction form
    2,474.70/3,714.48 = 1,884.21/x
  3. Step 3: Cross multiply
    2,474.70x = 3,714.48 × 1,884.21
  4. Step 4: Simplify right side
    2,474.70x = 6,998,860.36
  5. Step 5: Solve for x
    x = 6,998,860.36/2,474.70
  6. Step 6: Final answer
    x = 2,828.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.