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Finding the Fourth Proportional to 2,193.32, 3,289.93 and 712.54

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Solution

The fourth proportional to 2,193.32, 3,289.93 and 712.54 is: 1,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.32 : 3,289.93 = 712.54 : x
  2. Step 2: Convert to fraction form
    2,193.32/3,289.93 = 712.54/x
  3. Step 3: Cross multiply
    2,193.32x = 3,289.93 × 712.54
  4. Step 4: Simplify right side
    2,193.32x = 2,344,198.50
  5. Step 5: Solve for x
    x = 2,344,198.50/2,193.32
  6. Step 6: Final answer
    x = 1,068.79

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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.