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Finding the Fourth Proportional to 2,991.83, 4,125.20 and 2,048.08

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Solution

The fourth proportional to 2,991.83, 4,125.20 and 2,048.08 is: 2,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.83 : 4,125.20 = 2,048.08 : x
  2. Step 2: Convert to fraction form
    2,991.83/4,125.20 = 2,048.08/x
  3. Step 3: Cross multiply
    2,991.83x = 4,125.20 × 2,048.08
  4. Step 4: Simplify right side
    2,991.83x = 8,448,739.62
  5. Step 5: Solve for x
    x = 8,448,739.62/2,991.83
  6. Step 6: Final answer
    x = 2,823.94

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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.