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Finding the Fourth Proportional to 1,978.68, 2,727.18 and 1,535.73

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Solution

The fourth proportional to 1,978.68, 2,727.18 and 1,535.73 is: 2,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.68 : 2,727.18 = 1,535.73 : x
  2. Step 2: Convert to fraction form
    1,978.68/2,727.18 = 1,535.73/x
  3. Step 3: Cross multiply
    1,978.68x = 2,727.18 × 1,535.73
  4. Step 4: Simplify right side
    1,978.68x = 4,188,212.14
  5. Step 5: Solve for x
    x = 4,188,212.14/1,978.68
  6. Step 6: Final answer
    x = 2,116.67

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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.