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Finding the Fourth Proportional to 2,451.33, 3,676.98 and 602.43

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Solution

The fourth proportional to 2,451.33, 3,676.98 and 602.43 is: 903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.33 : 3,676.98 = 602.43 : x
  2. Step 2: Convert to fraction form
    2,451.33/3,676.98 = 602.43/x
  3. Step 3: Cross multiply
    2,451.33x = 3,676.98 × 602.43
  4. Step 4: Simplify right side
    2,451.33x = 2,215,123.06
  5. Step 5: Solve for x
    x = 2,215,123.06/2,451.33
  6. Step 6: Final answer
    x = 903.64

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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.