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Finding the Fourth Proportional to 2,133, 2,943.72 and 1,201.68

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Solution

The fourth proportional to 2,133, 2,943.72 and 1,201.68 is: 1,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133 : 2,943.72 = 1,201.68 : x
  2. Step 2: Convert to fraction form
    2,133/2,943.72 = 1,201.68/x
  3. Step 3: Cross multiply
    2,133x = 2,943.72 × 1,201.68
  4. Step 4: Simplify right side
    2,133x = 3,537,409.45
  5. Step 5: Solve for x
    x = 3,537,409.45/2,133
  6. Step 6: Final answer
    x = 1,658.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.