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Finding the Fourth Proportional to 2,447.28, 3,671.46 and 804.33

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Solution

The fourth proportional to 2,447.28, 3,671.46 and 804.33 is: 1,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.28 : 3,671.46 = 804.33 : x
  2. Step 2: Convert to fraction form
    2,447.28/3,671.46 = 804.33/x
  3. Step 3: Cross multiply
    2,447.28x = 3,671.46 × 804.33
  4. Step 4: Simplify right side
    2,447.28x = 2,953,065.42
  5. Step 5: Solve for x
    x = 2,953,065.42/2,447.28
  6. Step 6: Final answer
    x = 1,206.67

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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.