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Finding the Fourth Proportional to 2,104.80, 2,906.46 and 1,320.20

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Solution

The fourth proportional to 2,104.80, 2,906.46 and 1,320.20 is: 1,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.80 : 2,906.46 = 1,320.20 : x
  2. Step 2: Convert to fraction form
    2,104.80/2,906.46 = 1,320.20/x
  3. Step 3: Cross multiply
    2,104.80x = 2,906.46 × 1,320.20
  4. Step 4: Simplify right side
    2,104.80x = 3,837,108.49
  5. Step 5: Solve for x
    x = 3,837,108.49/2,104.80
  6. Step 6: Final answer
    x = 1,823.03

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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.