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Finding the Fourth Proportional to 2,811.02, 4,213.28 and 1,509.75

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Solution

The fourth proportional to 2,811.02, 4,213.28 and 1,509.75 is: 2,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.02 : 4,213.28 = 1,509.75 : x
  2. Step 2: Convert to fraction form
    2,811.02/4,213.28 = 1,509.75/x
  3. Step 3: Cross multiply
    2,811.02x = 4,213.28 × 1,509.75
  4. Step 4: Simplify right side
    2,811.02x = 6,361,003.25
  5. Step 5: Solve for x
    x = 6,361,003.25/2,811.02
  6. Step 6: Final answer
    x = 2,262.88

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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.