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Finding the Fourth Proportional to 2,514.56, 3,467.08 and 2,376

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Solution

The fourth proportional to 2,514.56, 3,467.08 and 2,376 is: 3,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.56 : 3,467.08 = 2,376 : x
  2. Step 2: Convert to fraction form
    2,514.56/3,467.08 = 2,376/x
  3. Step 3: Cross multiply
    2,514.56x = 3,467.08 × 2,376
  4. Step 4: Simplify right side
    2,514.56x = 8,237,782.08
  5. Step 5: Solve for x
    x = 8,237,782.08/2,514.56
  6. Step 6: Final answer
    x = 3,276.03

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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.