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Finding the Fourth Proportional to 3,260.65, 4,892.72 and 2,165.53

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Solution

The fourth proportional to 3,260.65, 4,892.72 and 2,165.53 is: 3,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.65 : 4,892.72 = 2,165.53 : x
  2. Step 2: Convert to fraction form
    3,260.65/4,892.72 = 2,165.53/x
  3. Step 3: Cross multiply
    3,260.65x = 4,892.72 × 2,165.53
  4. Step 4: Simplify right side
    3,260.65x = 10,595,321.11
  5. Step 5: Solve for x
    x = 10,595,321.11/3,260.65
  6. Step 6: Final answer
    x = 3,249.45

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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.