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Finding the Fourth Proportional to 1,486.67, 2,052.60 and 927.23

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Solution

The fourth proportional to 1,486.67, 2,052.60 and 927.23 is: 1,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.67 : 2,052.60 = 927.23 : x
  2. Step 2: Convert to fraction form
    1,486.67/2,052.60 = 927.23/x
  3. Step 3: Cross multiply
    1,486.67x = 2,052.60 × 927.23
  4. Step 4: Simplify right side
    1,486.67x = 1,903,232.30
  5. Step 5: Solve for x
    x = 1,903,232.30/1,486.67
  6. Step 6: Final answer
    x = 1,280.20

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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.