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Finding the Fourth Proportional to 2,805.08, 4,201.71 and 1,342.76

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Solution

The fourth proportional to 2,805.08, 4,201.71 and 1,342.76 is: 2,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.08 : 4,201.71 = 1,342.76 : x
  2. Step 2: Convert to fraction form
    2,805.08/4,201.71 = 1,342.76/x
  3. Step 3: Cross multiply
    2,805.08x = 4,201.71 × 1,342.76
  4. Step 4: Simplify right side
    2,805.08x = 5,641,888.12
  5. Step 5: Solve for x
    x = 5,641,888.12/2,805.08
  6. Step 6: Final answer
    x = 2,011.31

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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.