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Finding the Fourth Proportional to 3,239.00, 4,469.70 and 1,822.71

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Solution

The fourth proportional to 3,239.00, 4,469.70 and 1,822.71 is: 2,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.00 : 4,469.70 = 1,822.71 : x
  2. Step 2: Convert to fraction form
    3,239.00/4,469.70 = 1,822.71/x
  3. Step 3: Cross multiply
    3,239.00x = 4,469.70 × 1,822.71
  4. Step 4: Simplify right side
    3,239.00x = 8,146,966.89
  5. Step 5: Solve for x
    x = 8,146,966.89/3,239.00
  6. Step 6: Final answer
    x = 2,515.28

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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.