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Finding the Fourth Proportional to 2,193.98, 3,289.73 and 732.33

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Solution

The fourth proportional to 2,193.98, 3,289.73 and 732.33 is: 1,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.98 : 3,289.73 = 732.33 : x
  2. Step 2: Convert to fraction form
    2,193.98/3,289.73 = 732.33/x
  3. Step 3: Cross multiply
    2,193.98x = 3,289.73 × 732.33
  4. Step 4: Simplify right side
    2,193.98x = 2,409,164.31
  5. Step 5: Solve for x
    x = 2,409,164.31/2,193.98
  6. Step 6: Final answer
    x = 1,098.08

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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.