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Finding the Fourth Proportional to 2,714.75, 4,070.10 and 1,481.93

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Solution

The fourth proportional to 2,714.75, 4,070.10 and 1,481.93 is: 2,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.75 : 4,070.10 = 1,481.93 : x
  2. Step 2: Convert to fraction form
    2,714.75/4,070.10 = 1,481.93/x
  3. Step 3: Cross multiply
    2,714.75x = 4,070.10 × 1,481.93
  4. Step 4: Simplify right side
    2,714.75x = 6,031,603.29
  5. Step 5: Solve for x
    x = 6,031,603.29/2,714.75
  6. Step 6: Final answer
    x = 2,221.79

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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.