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Finding the Fourth Proportional to 2,404.06, 3,606.10 and 672.68

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Solution

The fourth proportional to 2,404.06, 3,606.10 and 672.68 is: 1,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.06 : 3,606.10 = 672.68 : x
  2. Step 2: Convert to fraction form
    2,404.06/3,606.10 = 672.68/x
  3. Step 3: Cross multiply
    2,404.06x = 3,606.10 × 672.68
  4. Step 4: Simplify right side
    2,404.06x = 2,425,751.35
  5. Step 5: Solve for x
    x = 2,425,751.35/2,404.06
  6. Step 6: Final answer
    x = 1,009.02

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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.