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Finding the Fourth Proportional to 3,134.40, 4,704 and 1,674

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Solution

The fourth proportional to 3,134.40, 4,704 and 1,674 is: 2,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.40 : 4,704 = 1,674 : x
  2. Step 2: Convert to fraction form
    3,134.40/4,704 = 1,674/x
  3. Step 3: Cross multiply
    3,134.40x = 4,704 × 1,674
  4. Step 4: Simplify right side
    3,134.40x = 7,874,496
  5. Step 5: Solve for x
    x = 7,874,496/3,134.40
  6. Step 6: Final answer
    x = 2,512.28

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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.