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Finding the Fourth Proportional to 2,550.35, 3,826.54 and 1,164.33

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Solution

The fourth proportional to 2,550.35, 3,826.54 and 1,164.33 is: 1,746.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.35 : 3,826.54 = 1,164.33 : x
  2. Step 2: Convert to fraction form
    2,550.35/3,826.54 = 1,164.33/x
  3. Step 3: Cross multiply
    2,550.35x = 3,826.54 × 1,164.33
  4. Step 4: Simplify right side
    2,550.35x = 4,455,352.41
  5. Step 5: Solve for x
    x = 4,455,352.41/2,550.35
  6. Step 6: Final answer
    x = 1,746.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.