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Finding the Fourth Proportional to 3,000.72, 4,140.99 and 1,674.39

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Solution

The fourth proportional to 3,000.72, 4,140.99 and 1,674.39 is: 2,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.72 : 4,140.99 = 1,674.39 : x
  2. Step 2: Convert to fraction form
    3,000.72/4,140.99 = 1,674.39/x
  3. Step 3: Cross multiply
    3,000.72x = 4,140.99 × 1,674.39
  4. Step 4: Simplify right side
    3,000.72x = 6,933,632.25
  5. Step 5: Solve for x
    x = 6,933,632.25/3,000.72
  6. Step 6: Final answer
    x = 2,310.66

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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.