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Finding the Fourth Proportional to 3,000.50, 4,140.70 and 1,674.27

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Solution

The fourth proportional to 3,000.50, 4,140.70 and 1,674.27 is: 2,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.50 : 4,140.70 = 1,674.27 : x
  2. Step 2: Convert to fraction form
    3,000.50/4,140.70 = 1,674.27/x
  3. Step 3: Cross multiply
    3,000.50x = 4,140.70 × 1,674.27
  4. Step 4: Simplify right side
    3,000.50x = 6,932,649.79
  5. Step 5: Solve for x
    x = 6,932,649.79/3,000.50
  6. Step 6: Final answer
    x = 2,310.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.