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Finding the Fourth Proportional to 3,223.67, 4,830.90 and 1,907.69

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Solution

The fourth proportional to 3,223.67, 4,830.90 and 1,907.69 is: 2,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.67 : 4,830.90 = 1,907.69 : x
  2. Step 2: Convert to fraction form
    3,223.67/4,830.90 = 1,907.69/x
  3. Step 3: Cross multiply
    3,223.67x = 4,830.90 × 1,907.69
  4. Step 4: Simplify right side
    3,223.67x = 9,215,835.47
  5. Step 5: Solve for x
    x = 9,215,835.47/3,223.67
  6. Step 6: Final answer
    x = 2,858.81

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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.