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Finding the Fourth Proportional to 2,591.49, 3,883.99 and 2,041.50

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Solution

The fourth proportional to 2,591.49, 3,883.99 and 2,041.50 is: 3,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.49 : 3,883.99 = 2,041.50 : x
  2. Step 2: Convert to fraction form
    2,591.49/3,883.99 = 2,041.50/x
  3. Step 3: Cross multiply
    2,591.49x = 3,883.99 × 2,041.50
  4. Step 4: Simplify right side
    2,591.49x = 7,929,165.59
  5. Step 5: Solve for x
    x = 7,929,165.59/2,591.49
  6. Step 6: Final answer
    x = 3,059.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.