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Finding the Fourth Proportional to 2,270.13, 3,405.36 and 626.66

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Solution

The fourth proportional to 2,270.13, 3,405.36 and 626.66 is: 940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.13 : 3,405.36 = 626.66 : x
  2. Step 2: Convert to fraction form
    2,270.13/3,405.36 = 626.66/x
  3. Step 3: Cross multiply
    2,270.13x = 3,405.36 × 626.66
  4. Step 4: Simplify right side
    2,270.13x = 2,134,002.90
  5. Step 5: Solve for x
    x = 2,134,002.90/2,270.13
  6. Step 6: Final answer
    x = 940.04

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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.