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Finding the Fourth Proportional to 2,174.96, 3,262.94 and 942.72

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Solution

The fourth proportional to 2,174.96, 3,262.94 and 942.72 is: 1,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.96 : 3,262.94 = 942.72 : x
  2. Step 2: Convert to fraction form
    2,174.96/3,262.94 = 942.72/x
  3. Step 3: Cross multiply
    2,174.96x = 3,262.94 × 942.72
  4. Step 4: Simplify right side
    2,174.96x = 3,076,034.08
  5. Step 5: Solve for x
    x = 3,076,034.08/2,174.96
  6. Step 6: Final answer
    x = 1,414.30

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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.