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Finding the Fourth Proportional to 2,270.19, 3,402.03 and 1,294.28

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Solution

The fourth proportional to 2,270.19, 3,402.03 and 1,294.28 is: 1,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.19 : 3,402.03 = 1,294.28 : x
  2. Step 2: Convert to fraction form
    2,270.19/3,402.03 = 1,294.28/x
  3. Step 3: Cross multiply
    2,270.19x = 3,402.03 × 1,294.28
  4. Step 4: Simplify right side
    2,270.19x = 4,403,162.38
  5. Step 5: Solve for x
    x = 4,403,162.38/2,270.19
  6. Step 6: Final answer
    x = 1,939.56

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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.