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Finding the Fourth Proportional to 2,653.12, 3,977.04 and 920.56

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Solution

The fourth proportional to 2,653.12, 3,977.04 and 920.56 is: 1,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.12 : 3,977.04 = 920.56 : x
  2. Step 2: Convert to fraction form
    2,653.12/3,977.04 = 920.56/x
  3. Step 3: Cross multiply
    2,653.12x = 3,977.04 × 920.56
  4. Step 4: Simplify right side
    2,653.12x = 3,661,103.94
  5. Step 5: Solve for x
    x = 3,661,103.94/2,653.12
  6. Step 6: Final answer
    x = 1,379.92

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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.