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Finding the Fourth Proportional to 2,989.81, 4,127.97 and 1,871.20

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Solution

The fourth proportional to 2,989.81, 4,127.97 and 1,871.20 is: 2,583.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989.81 : 4,127.97 = 1,871.20 : x
  2. Step 2: Convert to fraction form
    2,989.81/4,127.97 = 1,871.20/x
  3. Step 3: Cross multiply
    2,989.81x = 4,127.97 × 1,871.20
  4. Step 4: Simplify right side
    2,989.81x = 7,724,257.46
  5. Step 5: Solve for x
    x = 7,724,257.46/2,989.81
  6. Step 6: Final answer
    x = 2,583.53

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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.