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Finding the Fourth Proportional to 2,976.24, 4,105 and 1,913.04

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Solution

The fourth proportional to 2,976.24, 4,105 and 1,913.04 is: 2,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.24 : 4,105 = 1,913.04 : x
  2. Step 2: Convert to fraction form
    2,976.24/4,105 = 1,913.04/x
  3. Step 3: Cross multiply
    2,976.24x = 4,105 × 1,913.04
  4. Step 4: Simplify right side
    2,976.24x = 7,853,029.20
  5. Step 5: Solve for x
    x = 7,853,029.20/2,976.24
  6. Step 6: Final answer
    x = 2,638.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.