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Finding the Fourth Proportional to 2,270.12, 3,402.76 and 1,294.12

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Solution

The fourth proportional to 2,270.12, 3,402.76 and 1,294.12 is: 1,939.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.12 : 3,402.76 = 1,294.12 : x
  2. Step 2: Convert to fraction form
    2,270.12/3,402.76 = 1,294.12/x
  3. Step 3: Cross multiply
    2,270.12x = 3,402.76 × 1,294.12
  4. Step 4: Simplify right side
    2,270.12x = 4,403,579.77
  5. Step 5: Solve for x
    x = 4,403,579.77/2,270.12
  6. Step 6: Final answer
    x = 1,939.80

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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.