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Finding the Fourth Proportional to 3,260.17, 4,887.62 and 1,310.50

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Solution

The fourth proportional to 3,260.17, 4,887.62 and 1,310.50 is: 1,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.17 : 4,887.62 = 1,310.50 : x
  2. Step 2: Convert to fraction form
    3,260.17/4,887.62 = 1,310.50/x
  3. Step 3: Cross multiply
    3,260.17x = 4,887.62 × 1,310.50
  4. Step 4: Simplify right side
    3,260.17x = 6,405,226.01
  5. Step 5: Solve for x
    x = 6,405,226.01/3,260.17
  6. Step 6: Final answer
    x = 1,964.69

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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.