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Finding the Fourth Proportional to 1,462.31, 2,016.72 and 990.08

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Solution

The fourth proportional to 1,462.31, 2,016.72 and 990.08 is: 1,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.31 : 2,016.72 = 990.08 : x
  2. Step 2: Convert to fraction form
    1,462.31/2,016.72 = 990.08/x
  3. Step 3: Cross multiply
    1,462.31x = 2,016.72 × 990.08
  4. Step 4: Simplify right side
    1,462.31x = 1,996,704.05
  5. Step 5: Solve for x
    x = 1,996,704.05/1,462.31
  6. Step 6: Final answer
    x = 1,365.45

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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.