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Finding the Fourth Proportional to 1,819.96, 2,509.00 and 1,539.06

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Solution

The fourth proportional to 1,819.96, 2,509.00 and 1,539.06 is: 2,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.96 : 2,509.00 = 1,539.06 : x
  2. Step 2: Convert to fraction form
    1,819.96/2,509.00 = 1,539.06/x
  3. Step 3: Cross multiply
    1,819.96x = 2,509.00 × 1,539.06
  4. Step 4: Simplify right side
    1,819.96x = 3,861,493.84
  5. Step 5: Solve for x
    x = 3,861,493.84/1,819.96
  6. Step 6: Final answer
    x = 2,121.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.