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Finding the Fourth Proportional to 2,991.06, 4,487.10 and 1,016.48

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Solution

The fourth proportional to 2,991.06, 4,487.10 and 1,016.48 is: 1,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.06 : 4,487.10 = 1,016.48 : x
  2. Step 2: Convert to fraction form
    2,991.06/4,487.10 = 1,016.48/x
  3. Step 3: Cross multiply
    2,991.06x = 4,487.10 × 1,016.48
  4. Step 4: Simplify right side
    2,991.06x = 4,561,047.41
  5. Step 5: Solve for x
    x = 4,561,047.41/2,991.06
  6. Step 6: Final answer
    x = 1,524.89

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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.