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Finding the Fourth Proportional to 2,548.34, 3,514.34 and 1,697.24

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Solution

The fourth proportional to 2,548.34, 3,514.34 and 1,697.24 is: 2,340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.34 : 3,514.34 = 1,697.24 : x
  2. Step 2: Convert to fraction form
    2,548.34/3,514.34 = 1,697.24/x
  3. Step 3: Cross multiply
    2,548.34x = 3,514.34 × 1,697.24
  4. Step 4: Simplify right side
    2,548.34x = 5,964,678.42
  5. Step 5: Solve for x
    x = 5,964,678.42/2,548.34
  6. Step 6: Final answer
    x = 2,340.61

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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.