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Finding the Fourth Proportional to 3,000.71, 4,140.57 and 1,674.25

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Solution

The fourth proportional to 3,000.71, 4,140.57 and 1,674.25 is: 2,310.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.71 : 4,140.57 = 1,674.25 : x
  2. Step 2: Convert to fraction form
    3,000.71/4,140.57 = 1,674.25/x
  3. Step 3: Cross multiply
    3,000.71x = 4,140.57 × 1,674.25
  4. Step 4: Simplify right side
    3,000.71x = 6,932,345.25
  5. Step 5: Solve for x
    x = 6,932,345.25/3,000.71
  6. Step 6: Final answer
    x = 2,310.23

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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.