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Finding the Fourth Proportional to 2,500.82, 3,451.13 and 1,505.90

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Solution

The fourth proportional to 2,500.82, 3,451.13 and 1,505.90 is: 2,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.82 : 3,451.13 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    2,500.82/3,451.13 = 1,505.90/x
  3. Step 3: Cross multiply
    2,500.82x = 3,451.13 × 1,505.90
  4. Step 4: Simplify right side
    2,500.82x = 5,197,056.67
  5. Step 5: Solve for x
    x = 5,197,056.67/2,500.82
  6. Step 6: Final answer
    x = 2,078.14

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Why These Related Problems?

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