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Finding the Fourth Proportional to 2,815.30, 4,222.57 and 735.47

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Solution

The fourth proportional to 2,815.30, 4,222.57 and 735.47 is: 1,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.30 : 4,222.57 = 735.47 : x
  2. Step 2: Convert to fraction form
    2,815.30/4,222.57 = 735.47/x
  3. Step 3: Cross multiply
    2,815.30x = 4,222.57 × 735.47
  4. Step 4: Simplify right side
    2,815.30x = 3,105,573.56
  5. Step 5: Solve for x
    x = 3,105,573.56/2,815.30
  6. Step 6: Final answer
    x = 1,103.11

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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.