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Finding the Fourth Proportional to 2,380.30, 3,570.37 and 992.77

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Solution

The fourth proportional to 2,380.30, 3,570.37 and 992.77 is: 1,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.30 : 3,570.37 = 992.77 : x
  2. Step 2: Convert to fraction form
    2,380.30/3,570.37 = 992.77/x
  3. Step 3: Cross multiply
    2,380.30x = 3,570.37 × 992.77
  4. Step 4: Simplify right side
    2,380.30x = 3,544,556.22
  5. Step 5: Solve for x
    x = 3,544,556.22/2,380.30
  6. Step 6: Final answer
    x = 1,489.12

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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.