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Finding the Fourth Proportional to 2,042.14, 3,062.89 and 561.47

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Solution

The fourth proportional to 2,042.14, 3,062.89 and 561.47 is: 842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.14 : 3,062.89 = 561.47 : x
  2. Step 2: Convert to fraction form
    2,042.14/3,062.89 = 561.47/x
  3. Step 3: Cross multiply
    2,042.14x = 3,062.89 × 561.47
  4. Step 4: Simplify right side
    2,042.14x = 1,719,729.05
  5. Step 5: Solve for x
    x = 1,719,729.05/2,042.14
  6. Step 6: Final answer
    x = 842.12

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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.