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Finding the Fourth Proportional to 1,330.44, 1,995.90 and 1,089.12

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Solution

The fourth proportional to 1,330.44, 1,995.90 and 1,089.12 is: 1,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.44 : 1,995.90 = 1,089.12 : x
  2. Step 2: Convert to fraction form
    1,330.44/1,995.90 = 1,089.12/x
  3. Step 3: Cross multiply
    1,330.44x = 1,995.90 × 1,089.12
  4. Step 4: Simplify right side
    1,330.44x = 2,173,774.61
  5. Step 5: Solve for x
    x = 2,173,774.61/1,330.44
  6. Step 6: Final answer
    x = 1,633.88

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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.