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Finding the Fourth Proportional to 2,190.91, 3,283.48 and 891.67

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Solution

The fourth proportional to 2,190.91, 3,283.48 and 891.67 is: 1,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.91 : 3,283.48 = 891.67 : x
  2. Step 2: Convert to fraction form
    2,190.91/3,283.48 = 891.67/x
  3. Step 3: Cross multiply
    2,190.91x = 3,283.48 × 891.67
  4. Step 4: Simplify right side
    2,190.91x = 2,927,780.61
  5. Step 5: Solve for x
    x = 2,927,780.61/2,190.91
  6. Step 6: Final answer
    x = 1,336.33

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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.