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Finding the Fourth Proportional to 2,644.45, 3,967.23 and 1,000.96

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Solution

The fourth proportional to 2,644.45, 3,967.23 and 1,000.96 is: 1,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.45 : 3,967.23 = 1,000.96 : x
  2. Step 2: Convert to fraction form
    2,644.45/3,967.23 = 1,000.96/x
  3. Step 3: Cross multiply
    2,644.45x = 3,967.23 × 1,000.96
  4. Step 4: Simplify right side
    2,644.45x = 3,971,026.75
  5. Step 5: Solve for x
    x = 3,971,026.75/2,644.45
  6. Step 6: Final answer
    x = 1,501.65

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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.