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Finding the Fourth Proportional to 3,141.50, 4,714.08 and 1,410.20

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Solution

The fourth proportional to 3,141.50, 4,714.08 and 1,410.20 is: 2,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.50 : 4,714.08 = 1,410.20 : x
  2. Step 2: Convert to fraction form
    3,141.50/4,714.08 = 1,410.20/x
  3. Step 3: Cross multiply
    3,141.50x = 4,714.08 × 1,410.20
  4. Step 4: Simplify right side
    3,141.50x = 6,647,795.62
  5. Step 5: Solve for x
    x = 6,647,795.62/3,141.50
  6. Step 6: Final answer
    x = 2,116.12

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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.