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Finding the Fourth Proportional to 2,193.02, 3,289.53 and 894.62

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Solution

The fourth proportional to 2,193.02, 3,289.53 and 894.62 is: 1,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.02 : 3,289.53 = 894.62 : x
  2. Step 2: Convert to fraction form
    2,193.02/3,289.53 = 894.62/x
  3. Step 3: Cross multiply
    2,193.02x = 3,289.53 × 894.62
  4. Step 4: Simplify right side
    2,193.02x = 2,942,879.33
  5. Step 5: Solve for x
    x = 2,942,879.33/2,193.02
  6. Step 6: Final answer
    x = 1,341.93

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Double scale
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Similar ratio
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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.