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Finding the Fourth Proportional to 2,714.25, 3,745.68 and 1,472.25

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Solution

The fourth proportional to 2,714.25, 3,745.68 and 1,472.25 is: 2,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.25 : 3,745.68 = 1,472.25 : x
  2. Step 2: Convert to fraction form
    2,714.25/3,745.68 = 1,472.25/x
  3. Step 3: Cross multiply
    2,714.25x = 3,745.68 × 1,472.25
  4. Step 4: Simplify right side
    2,714.25x = 5,514,577.38
  5. Step 5: Solve for x
    x = 5,514,577.38/2,714.25
  6. Step 6: Final answer
    x = 2,031.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.