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Finding the Fourth Proportional to 3,223.71, 4,448.70 and 1,826.46

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Solution

The fourth proportional to 3,223.71, 4,448.70 and 1,826.46 is: 2,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.71 : 4,448.70 = 1,826.46 : x
  2. Step 2: Convert to fraction form
    3,223.71/4,448.70 = 1,826.46/x
  3. Step 3: Cross multiply
    3,223.71x = 4,448.70 × 1,826.46
  4. Step 4: Simplify right side
    3,223.71x = 8,125,372.60
  5. Step 5: Solve for x
    x = 8,125,372.60/3,223.71
  6. Step 6: Final answer
    x = 2,520.50

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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.