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Finding the Fourth Proportional to 2,404.30, 3,606.46 and 672.92

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Solution

The fourth proportional to 2,404.30, 3,606.46 and 672.92 is: 1,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.30 : 3,606.46 = 672.92 : x
  2. Step 2: Convert to fraction form
    2,404.30/3,606.46 = 672.92/x
  3. Step 3: Cross multiply
    2,404.30x = 3,606.46 × 672.92
  4. Step 4: Simplify right side
    2,404.30x = 2,426,859.06
  5. Step 5: Solve for x
    x = 2,426,859.06/2,404.30
  6. Step 6: Final answer
    x = 1,009.38

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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.