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Finding the Fourth Proportional to 2,550.64, 3,804.06 and 2,506.90

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Solution

The fourth proportional to 2,550.64, 3,804.06 and 2,506.90 is: 3,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.64 : 3,804.06 = 2,506.90 : x
  2. Step 2: Convert to fraction form
    2,550.64/3,804.06 = 2,506.90/x
  3. Step 3: Cross multiply
    2,550.64x = 3,804.06 × 2,506.90
  4. Step 4: Simplify right side
    2,550.64x = 9,536,398.01
  5. Step 5: Solve for x
    x = 9,536,398.01/2,550.64
  6. Step 6: Final answer
    x = 3,738.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.