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Finding the Fourth Proportional to 2,192.77, 3,289.36 and 732.14

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Solution

The fourth proportional to 2,192.77, 3,289.36 and 732.14 is: 1,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.77 : 3,289.36 = 732.14 : x
  2. Step 2: Convert to fraction form
    2,192.77/3,289.36 = 732.14/x
  3. Step 3: Cross multiply
    2,192.77x = 3,289.36 × 732.14
  4. Step 4: Simplify right side
    2,192.77x = 2,408,267.46
  5. Step 5: Solve for x
    x = 2,408,267.46/2,192.77
  6. Step 6: Final answer
    x = 1,098.28

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1.5x scale

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.