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Finding the Fourth Proportional to 2,270.18, 3,405.20 and 626.69

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Solution

The fourth proportional to 2,270.18, 3,405.20 and 626.69 is: 940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.18 : 3,405.20 = 626.69 : x
  2. Step 2: Convert to fraction form
    2,270.18/3,405.20 = 626.69/x
  3. Step 3: Cross multiply
    2,270.18x = 3,405.20 × 626.69
  4. Step 4: Simplify right side
    2,270.18x = 2,134,010.17
  5. Step 5: Solve for x
    x = 2,134,010.17/2,270.18
  6. Step 6: Final answer
    x = 940.02

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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.