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Finding the Fourth Proportional to 1,209.37, 1,667.38 and 1,043.26

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Solution

The fourth proportional to 1,209.37, 1,667.38 and 1,043.26 is: 1,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.37 : 1,667.38 = 1,043.26 : x
  2. Step 2: Convert to fraction form
    1,209.37/1,667.38 = 1,043.26/x
  3. Step 3: Cross multiply
    1,209.37x = 1,667.38 × 1,043.26
  4. Step 4: Simplify right side
    1,209.37x = 1,739,510.86
  5. Step 5: Solve for x
    x = 1,739,510.86/1,209.37
  6. Step 6: Final answer
    x = 1,438.36

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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.