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Finding the Fourth Proportional to 2,854.63, 3,939.33 and 1,595.65

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Solution

The fourth proportional to 2,854.63, 3,939.33 and 1,595.65 is: 2,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.63 : 3,939.33 = 1,595.65 : x
  2. Step 2: Convert to fraction form
    2,854.63/3,939.33 = 1,595.65/x
  3. Step 3: Cross multiply
    2,854.63x = 3,939.33 × 1,595.65
  4. Step 4: Simplify right side
    2,854.63x = 6,285,791.91
  5. Step 5: Solve for x
    x = 6,285,791.91/2,854.63
  6. Step 6: Final answer
    x = 2,201.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.