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Finding the Fourth Proportional to 2,402.56, 3,605.06 and 942.54

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Solution

The fourth proportional to 2,402.56, 3,605.06 and 942.54 is: 1,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.56 : 3,605.06 = 942.54 : x
  2. Step 2: Convert to fraction form
    2,402.56/3,605.06 = 942.54/x
  3. Step 3: Cross multiply
    2,402.56x = 3,605.06 × 942.54
  4. Step 4: Simplify right side
    2,402.56x = 3,397,913.25
  5. Step 5: Solve for x
    x = 3,397,913.25/2,402.56
  6. Step 6: Final answer
    x = 1,414.29

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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.