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Finding the Fourth Proportional to 2,108.94, 2,911.25 and 1,449.20

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Solution

The fourth proportional to 2,108.94, 2,911.25 and 1,449.20 is: 2,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.94 : 2,911.25 = 1,449.20 : x
  2. Step 2: Convert to fraction form
    2,108.94/2,911.25 = 1,449.20/x
  3. Step 3: Cross multiply
    2,108.94x = 2,911.25 × 1,449.20
  4. Step 4: Simplify right side
    2,108.94x = 4,218,972.57
  5. Step 5: Solve for x
    x = 4,218,972.57/2,108.94
  6. Step 6: Final answer
    x = 2,000.52

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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.