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Finding the Fourth Proportional to 2,371.56, 3,557.79 and 984.12

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Solution

The fourth proportional to 2,371.56, 3,557.79 and 984.12 is: 1,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.56 : 3,557.79 = 984.12 : x
  2. Step 2: Convert to fraction form
    2,371.56/3,557.79 = 984.12/x
  3. Step 3: Cross multiply
    2,371.56x = 3,557.79 × 984.12
  4. Step 4: Simplify right side
    2,371.56x = 3,501,292.29
  5. Step 5: Solve for x
    x = 3,501,292.29/2,371.56
  6. Step 6: Final answer
    x = 1,476.37

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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.