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Finding the Fourth Proportional to 3,260.42, 4,890.58 and 795.24

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Solution

The fourth proportional to 3,260.42, 4,890.58 and 795.24 is: 1,192.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.42 : 4,890.58 = 795.24 : x
  2. Step 2: Convert to fraction form
    3,260.42/4,890.58 = 795.24/x
  3. Step 3: Cross multiply
    3,260.42x = 4,890.58 × 795.24
  4. Step 4: Simplify right side
    3,260.42x = 3,889,160.39
  5. Step 5: Solve for x
    x = 3,889,160.39/3,260.42
  6. Step 6: Final answer
    x = 1,192.84

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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.