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Finding the Fourth Proportional to 3,000.65, 4,503.40 and 1,540.22

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Solution

The fourth proportional to 3,000.65, 4,503.40 and 1,540.22 is: 2,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.65 : 4,503.40 = 1,540.22 : x
  2. Step 2: Convert to fraction form
    3,000.65/4,503.40 = 1,540.22/x
  3. Step 3: Cross multiply
    3,000.65x = 4,503.40 × 1,540.22
  4. Step 4: Simplify right side
    3,000.65x = 6,936,200.38
  5. Step 5: Solve for x
    x = 6,936,200.38/3,000.65
  6. Step 6: Final answer
    x = 2,311.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.