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Finding the Fourth Proportional to 3,260.46, 4,890.66 and 795.32

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Solution

The fourth proportional to 3,260.46, 4,890.66 and 795.32 is: 1,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.46 : 4,890.66 = 795.32 : x
  2. Step 2: Convert to fraction form
    3,260.46/4,890.66 = 795.32/x
  3. Step 3: Cross multiply
    3,260.46x = 4,890.66 × 795.32
  4. Step 4: Simplify right side
    3,260.46x = 3,889,615.26
  5. Step 5: Solve for x
    x = 3,889,615.26/3,260.46
  6. Step 6: Final answer
    x = 1,192.97

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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.