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Finding the Fourth Proportional to 3,010.46, 4,515.12 and 930.20

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Solution

The fourth proportional to 3,010.46, 4,515.12 and 930.20 is: 1,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.46 : 4,515.12 = 930.20 : x
  2. Step 2: Convert to fraction form
    3,010.46/4,515.12 = 930.20/x
  3. Step 3: Cross multiply
    3,010.46x = 4,515.12 × 930.20
  4. Step 4: Simplify right side
    3,010.46x = 4,199,942.05
  5. Step 5: Solve for x
    x = 4,199,942.05/3,010.46
  6. Step 6: Final answer
    x = 1,395.12

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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.