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Finding the Fourth Proportional to 3,000.63, 4,141.29 and 1,674.42

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Solution

The fourth proportional to 3,000.63, 4,141.29 and 1,674.42 is: 2,310.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.63 : 4,141.29 = 1,674.42 : x
  2. Step 2: Convert to fraction form
    3,000.63/4,141.29 = 1,674.42/x
  3. Step 3: Cross multiply
    3,000.63x = 4,141.29 × 1,674.42
  4. Step 4: Simplify right side
    3,000.63x = 6,934,265.78
  5. Step 5: Solve for x
    x = 6,934,265.78/3,000.63
  6. Step 6: Final answer
    x = 2,310.93

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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.