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Finding the Fourth Proportional to 3,200.43, 4,801.23 and 1,252.51

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Solution

The fourth proportional to 3,200.43, 4,801.23 and 1,252.51 is: 1,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.43 : 4,801.23 = 1,252.51 : x
  2. Step 2: Convert to fraction form
    3,200.43/4,801.23 = 1,252.51/x
  3. Step 3: Cross multiply
    3,200.43x = 4,801.23 × 1,252.51
  4. Step 4: Simplify right side
    3,200.43x = 6,013,588.59
  5. Step 5: Solve for x
    x = 6,013,588.59/3,200.43
  6. Step 6: Final answer
    x = 1,878.99

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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.