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Finding the Fourth Proportional to 3,000.20, 4,140.36 and 1,674.17

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Solution

The fourth proportional to 3,000.20, 4,140.36 and 1,674.17 is: 2,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.20 : 4,140.36 = 1,674.17 : x
  2. Step 2: Convert to fraction form
    3,000.20/4,140.36 = 1,674.17/x
  3. Step 3: Cross multiply
    3,000.20x = 4,140.36 × 1,674.17
  4. Step 4: Simplify right side
    3,000.20x = 6,931,637.43
  5. Step 5: Solve for x
    x = 6,931,637.43/3,000.20
  6. Step 6: Final answer
    x = 2,310.39

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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.