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Finding the Fourth Proportional to 2,371.56, 3,558.42 and 985.24

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Solution

The fourth proportional to 2,371.56, 3,558.42 and 985.24 is: 1,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.56 : 3,558.42 = 985.24 : x
  2. Step 2: Convert to fraction form
    2,371.56/3,558.42 = 985.24/x
  3. Step 3: Cross multiply
    2,371.56x = 3,558.42 × 985.24
  4. Step 4: Simplify right side
    2,371.56x = 3,505,897.72
  5. Step 5: Solve for x
    x = 3,505,897.72/2,371.56
  6. Step 6: Final answer
    x = 1,478.31

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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.