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Finding the Fourth Proportional to 1,650.36, 2,472.81 and 1,442.60

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Solution

The fourth proportional to 1,650.36, 2,472.81 and 1,442.60 is: 2,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.36 : 2,472.81 = 1,442.60 : x
  2. Step 2: Convert to fraction form
    1,650.36/2,472.81 = 1,442.60/x
  3. Step 3: Cross multiply
    1,650.36x = 2,472.81 × 1,442.60
  4. Step 4: Simplify right side
    1,650.36x = 3,567,263.34
  5. Step 5: Solve for x
    x = 3,567,263.34/1,650.36
  6. Step 6: Final answer
    x = 2,161.51

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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.