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Finding the Fourth Proportional to 1,332.37, 1,828.89 and 1,181.71

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Solution

The fourth proportional to 1,332.37, 1,828.89 and 1,181.71 is: 1,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.37 : 1,828.89 = 1,181.71 : x
  2. Step 2: Convert to fraction form
    1,332.37/1,828.89 = 1,181.71/x
  3. Step 3: Cross multiply
    1,332.37x = 1,828.89 × 1,181.71
  4. Step 4: Simplify right side
    1,332.37x = 2,161,217.60
  5. Step 5: Solve for x
    x = 2,161,217.60/1,332.37
  6. Step 6: Final answer
    x = 1,622.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.