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Finding the Fourth Proportional to 2,652.72, 3,976.64 and 920.13

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Solution

The fourth proportional to 2,652.72, 3,976.64 and 920.13 is: 1,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.72 : 3,976.64 = 920.13 : x
  2. Step 2: Convert to fraction form
    2,652.72/3,976.64 = 920.13/x
  3. Step 3: Cross multiply
    2,652.72x = 3,976.64 × 920.13
  4. Step 4: Simplify right side
    2,652.72x = 3,659,025.76
  5. Step 5: Solve for x
    x = 3,659,025.76/2,652.72
  6. Step 6: Final answer
    x = 1,379.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.