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Finding the Fourth Proportional to 3,260.97, 4,887.56 and 1,504.20

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Solution

The fourth proportional to 3,260.97, 4,887.56 and 1,504.20 is: 2,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.97 : 4,887.56 = 1,504.20 : x
  2. Step 2: Convert to fraction form
    3,260.97/4,887.56 = 1,504.20/x
  3. Step 3: Cross multiply
    3,260.97x = 4,887.56 × 1,504.20
  4. Step 4: Simplify right side
    3,260.97x = 7,351,860.23
  5. Step 5: Solve for x
    x = 7,351,860.23/3,260.97
  6. Step 6: Final answer
    x = 2,254.50

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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.