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Finding the Fourth Proportional to 1,330.17, 1,992.16 and 1,284.03

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Solution

The fourth proportional to 1,330.17, 1,992.16 and 1,284.03 is: 1,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.17 : 1,992.16 = 1,284.03 : x
  2. Step 2: Convert to fraction form
    1,330.17/1,992.16 = 1,284.03/x
  3. Step 3: Cross multiply
    1,330.17x = 1,992.16 × 1,284.03
  4. Step 4: Simplify right side
    1,330.17x = 2,557,993.20
  5. Step 5: Solve for x
    x = 2,557,993.20/1,330.17
  6. Step 6: Final answer
    x = 1,923.06

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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.