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Finding the Fourth Proportional to 2,714.52, 4,074.10 and 1,072.24

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Solution

The fourth proportional to 2,714.52, 4,074.10 and 1,072.24 is: 1,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.52 : 4,074.10 = 1,072.24 : x
  2. Step 2: Convert to fraction form
    2,714.52/4,074.10 = 1,072.24/x
  3. Step 3: Cross multiply
    2,714.52x = 4,074.10 × 1,072.24
  4. Step 4: Simplify right side
    2,714.52x = 4,368,412.98
  5. Step 5: Solve for x
    x = 4,368,412.98/2,714.52
  6. Step 6: Final answer
    x = 1,609.28

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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.