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Finding the Fourth Proportional to 3,010.20, 4,515.34 and 930.18

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Solution

The fourth proportional to 3,010.20, 4,515.34 and 930.18 is: 1,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.20 : 4,515.34 = 930.18 : x
  2. Step 2: Convert to fraction form
    3,010.20/4,515.34 = 930.18/x
  3. Step 3: Cross multiply
    3,010.20x = 4,515.34 × 930.18
  4. Step 4: Simplify right side
    3,010.20x = 4,200,078.96
  5. Step 5: Solve for x
    x = 4,200,078.96/3,010.20
  6. Step 6: Final answer
    x = 1,395.28

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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.