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Finding the Fourth Proportional to 2,604.33, 3,594 and 1,425.45

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Solution

The fourth proportional to 2,604.33, 3,594 and 1,425.45 is: 1,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.33 : 3,594 = 1,425.45 : x
  2. Step 2: Convert to fraction form
    2,604.33/3,594 = 1,425.45/x
  3. Step 3: Cross multiply
    2,604.33x = 3,594 × 1,425.45
  4. Step 4: Simplify right side
    2,604.33x = 5,123,067.30
  5. Step 5: Solve for x
    x = 5,123,067.30/2,604.33
  6. Step 6: Final answer
    x = 1,967.13

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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.