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Finding the Fourth Proportional to 1,486.49, 2,231.87 and 1,322.47

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Solution

The fourth proportional to 1,486.49, 2,231.87 and 1,322.47 is: 1,985.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.49 : 2,231.87 = 1,322.47 : x
  2. Step 2: Convert to fraction form
    1,486.49/2,231.87 = 1,322.47/x
  3. Step 3: Cross multiply
    1,486.49x = 2,231.87 × 1,322.47
  4. Step 4: Simplify right side
    1,486.49x = 2,951,568.93
  5. Step 5: Solve for x
    x = 2,951,568.93/1,486.49
  6. Step 6: Final answer
    x = 1,985.59

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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.