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Finding the Fourth Proportional to 2,042.73, 3,062.79 and 947.43

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Solution

The fourth proportional to 2,042.73, 3,062.79 and 947.43 is: 1,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.73 : 3,062.79 = 947.43 : x
  2. Step 2: Convert to fraction form
    2,042.73/3,062.79 = 947.43/x
  3. Step 3: Cross multiply
    2,042.73x = 3,062.79 × 947.43
  4. Step 4: Simplify right side
    2,042.73x = 2,901,779.13
  5. Step 5: Solve for x
    x = 2,901,779.13/2,042.73
  6. Step 6: Final answer
    x = 1,420.54

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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.