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Finding the Fourth Proportional to 3,260.68, 4,891.07 and 795.54

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Solution

The fourth proportional to 3,260.68, 4,891.07 and 795.54 is: 1,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.68 : 4,891.07 = 795.54 : x
  2. Step 2: Convert to fraction form
    3,260.68/4,891.07 = 795.54/x
  3. Step 3: Cross multiply
    3,260.68x = 4,891.07 × 795.54
  4. Step 4: Simplify right side
    3,260.68x = 3,891,041.83
  5. Step 5: Solve for x
    x = 3,891,041.83/3,260.68
  6. Step 6: Final answer
    x = 1,193.32

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