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Finding the Fourth Proportional to 3,260.62, 4,891.60 and 1,312.82

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Solution

The fourth proportional to 3,260.62, 4,891.60 and 1,312.82 is: 1,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.62 : 4,891.60 = 1,312.82 : x
  2. Step 2: Convert to fraction form
    3,260.62/4,891.60 = 1,312.82/x
  3. Step 3: Cross multiply
    3,260.62x = 4,891.60 × 1,312.82
  4. Step 4: Simplify right side
    3,260.62x = 6,421,790.31
  5. Step 5: Solve for x
    x = 6,421,790.31/3,260.62
  6. Step 6: Final answer
    x = 1,969.50

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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.