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Finding the Fourth Proportional to 3,148.92, 4,724.94 and 2,230.38

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Solution

The fourth proportional to 3,148.92, 4,724.94 and 2,230.38 is: 3,346.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.92 : 4,724.94 = 2,230.38 : x
  2. Step 2: Convert to fraction form
    3,148.92/4,724.94 = 2,230.38/x
  3. Step 3: Cross multiply
    3,148.92x = 4,724.94 × 2,230.38
  4. Step 4: Simplify right side
    3,148.92x = 10,538,411.68
  5. Step 5: Solve for x
    x = 10,538,411.68/3,148.92
  6. Step 6: Final answer
    x = 3,346.67

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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.