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Finding the Fourth Proportional to 3,223.48, 4,448.82 and 1,826.68

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Solution

The fourth proportional to 3,223.48, 4,448.82 and 1,826.68 is: 2,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.48 : 4,448.82 = 1,826.68 : x
  2. Step 2: Convert to fraction form
    3,223.48/4,448.82 = 1,826.68/x
  3. Step 3: Cross multiply
    3,223.48x = 4,448.82 × 1,826.68
  4. Step 4: Simplify right side
    3,223.48x = 8,126,570.52
  5. Step 5: Solve for x
    x = 8,126,570.52/3,223.48
  6. Step 6: Final answer
    x = 2,521.06

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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.