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Finding the Fourth Proportional to 4,801.65, 7,205.49 and 2,028.42

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Solution

The fourth proportional to 4,801.65, 7,205.49 and 2,028.42 is: 3,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.65 : 7,205.49 = 2,028.42 : x
  2. Step 2: Convert to fraction form
    4,801.65/7,205.49 = 2,028.42/x
  3. Step 3: Cross multiply
    4,801.65x = 7,205.49 × 2,028.42
  4. Step 4: Simplify right side
    4,801.65x = 14,615,760.03
  5. Step 5: Solve for x
    x = 14,615,760.03/4,801.65
  6. Step 6: Final answer
    x = 3,043.90

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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.