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Finding the Fourth Proportional to 2,371.26, 3,556.92 and 983.10

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Solution

The fourth proportional to 2,371.26, 3,556.92 and 983.10 is: 1,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.26 : 3,556.92 = 983.10 : x
  2. Step 2: Convert to fraction form
    2,371.26/3,556.92 = 983.10/x
  3. Step 3: Cross multiply
    2,371.26x = 3,556.92 × 983.10
  4. Step 4: Simplify right side
    2,371.26x = 3,496,808.05
  5. Step 5: Solve for x
    x = 3,496,808.05/2,371.26
  6. Step 6: Final answer
    x = 1,474.66

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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.