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Finding the Fourth Proportional to 2,853.69, 3,937.77 and 1,658.31

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Solution

The fourth proportional to 2,853.69, 3,937.77 and 1,658.31 is: 2,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.69 : 3,937.77 = 1,658.31 : x
  2. Step 2: Convert to fraction form
    2,853.69/3,937.77 = 1,658.31/x
  3. Step 3: Cross multiply
    2,853.69x = 3,937.77 × 1,658.31
  4. Step 4: Simplify right side
    2,853.69x = 6,530,043.37
  5. Step 5: Solve for x
    x = 6,530,043.37/2,853.69
  6. Step 6: Final answer
    x = 2,288.28

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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.