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Finding the Fourth Proportional to 2,902.37, 4,354.23 and 2,311.63

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Solution

The fourth proportional to 2,902.37, 4,354.23 and 2,311.63 is: 3,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.37 : 4,354.23 = 2,311.63 : x
  2. Step 2: Convert to fraction form
    2,902.37/4,354.23 = 2,311.63/x
  3. Step 3: Cross multiply
    2,902.37x = 4,354.23 × 2,311.63
  4. Step 4: Simplify right side
    2,902.37x = 10,065,341.14
  5. Step 5: Solve for x
    x = 10,065,341.14/2,902.37
  6. Step 6: Final answer
    x = 3,467.98

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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.