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Finding the Fourth Proportional to 1,327.56, 1,987.23 and 1,214.16

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Solution

The fourth proportional to 1,327.56, 1,987.23 and 1,214.16 is: 1,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.56 : 1,987.23 = 1,214.16 : x
  2. Step 2: Convert to fraction form
    1,327.56/1,987.23 = 1,214.16/x
  3. Step 3: Cross multiply
    1,327.56x = 1,987.23 × 1,214.16
  4. Step 4: Simplify right side
    1,327.56x = 2,412,815.18
  5. Step 5: Solve for x
    x = 2,412,815.18/1,327.56
  6. Step 6: Final answer
    x = 1,817.48

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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.