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Finding the Fourth Proportional to 2,609.32, 3,912.34 and 1,455.88

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Solution

The fourth proportional to 2,609.32, 3,912.34 and 1,455.88 is: 2,182.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.32 : 3,912.34 = 1,455.88 : x
  2. Step 2: Convert to fraction form
    2,609.32/3,912.34 = 1,455.88/x
  3. Step 3: Cross multiply
    2,609.32x = 3,912.34 × 1,455.88
  4. Step 4: Simplify right side
    2,609.32x = 5,695,897.56
  5. Step 5: Solve for x
    x = 5,695,897.56/2,609.32
  6. Step 6: Final answer
    x = 2,182.90

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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.