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Finding the Fourth Proportional to 2,190.41, 3,284.49 and 803.39

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Solution

The fourth proportional to 2,190.41, 3,284.49 and 803.39 is: 1,204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.41 : 3,284.49 = 803.39 : x
  2. Step 2: Convert to fraction form
    2,190.41/3,284.49 = 803.39/x
  3. Step 3: Cross multiply
    2,190.41x = 3,284.49 × 803.39
  4. Step 4: Simplify right side
    2,190.41x = 2,638,713.01
  5. Step 5: Solve for x
    x = 2,638,713.01/2,190.41
  6. Step 6: Final answer
    x = 1,204.67

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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.