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Finding the Fourth Proportional to 3,002.44, 4,503.66 and 1,540.78

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Solution

The fourth proportional to 3,002.44, 4,503.66 and 1,540.78 is: 2,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.44 : 4,503.66 = 1,540.78 : x
  2. Step 2: Convert to fraction form
    3,002.44/4,503.66 = 1,540.78/x
  3. Step 3: Cross multiply
    3,002.44x = 4,503.66 × 1,540.78
  4. Step 4: Simplify right side
    3,002.44x = 6,939,149.25
  5. Step 5: Solve for x
    x = 6,939,149.25/3,002.44
  6. Step 6: Final answer
    x = 2,311.17

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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.