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Finding the Fourth Proportional to 2,048.81, 2,827.46 and 1,550.57

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Solution

The fourth proportional to 2,048.81, 2,827.46 and 1,550.57 is: 2,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.81 : 2,827.46 = 1,550.57 : x
  2. Step 2: Convert to fraction form
    2,048.81/2,827.46 = 1,550.57/x
  3. Step 3: Cross multiply
    2,048.81x = 2,827.46 × 1,550.57
  4. Step 4: Simplify right side
    2,048.81x = 4,384,164.39
  5. Step 5: Solve for x
    x = 4,384,164.39/2,048.81
  6. Step 6: Final answer
    x = 2,139.86

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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.