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Finding the Fourth Proportional to 1,782.38, 2,674 and 628.12

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Solution

The fourth proportional to 1,782.38, 2,674 and 628.12 is: 942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.38 : 2,674 = 628.12 : x
  2. Step 2: Convert to fraction form
    1,782.38/2,674 = 628.12/x
  3. Step 3: Cross multiply
    1,782.38x = 2,674 × 628.12
  4. Step 4: Simplify right side
    1,782.38x = 1,679,592.88
  5. Step 5: Solve for x
    x = 1,679,592.88/1,782.38
  6. Step 6: Final answer
    x = 942.33

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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.