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Finding the Fourth Proportional to 1,881.27, 2,817.81 and 1,148.63

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Solution

The fourth proportional to 1,881.27, 2,817.81 and 1,148.63 is: 1,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.27 : 2,817.81 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    1,881.27/2,817.81 = 1,148.63/x
  3. Step 3: Cross multiply
    1,881.27x = 2,817.81 × 1,148.63
  4. Step 4: Simplify right side
    1,881.27x = 3,236,607.01
  5. Step 5: Solve for x
    x = 3,236,607.01/1,881.27
  6. Step 6: Final answer
    x = 1,720.44

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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.