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Finding the Fourth Proportional to 3,000.56, 4,140.63 and 1,674

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Solution

The fourth proportional to 3,000.56, 4,140.63 and 1,674 is: 2,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.56 : 4,140.63 = 1,674 : x
  2. Step 2: Convert to fraction form
    3,000.56/4,140.63 = 1,674/x
  3. Step 3: Cross multiply
    3,000.56x = 4,140.63 × 1,674
  4. Step 4: Simplify right side
    3,000.56x = 6,931,414.62
  5. Step 5: Solve for x
    x = 6,931,414.62/3,000.56
  6. Step 6: Final answer
    x = 2,310.04

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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.