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Finding the Fourth Proportional to 2,471.20, 3,698.70 and 1,920.40

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Solution

The fourth proportional to 2,471.20, 3,698.70 and 1,920.40 is: 2,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.20 : 3,698.70 = 1,920.40 : x
  2. Step 2: Convert to fraction form
    2,471.20/3,698.70 = 1,920.40/x
  3. Step 3: Cross multiply
    2,471.20x = 3,698.70 × 1,920.40
  4. Step 4: Simplify right side
    2,471.20x = 7,102,983.48
  5. Step 5: Solve for x
    x = 7,102,983.48/2,471.20
  6. Step 6: Final answer
    x = 2,874.31

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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.