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Finding the Fourth Proportional to 2,943.92, 4,411.50 and 1,481.25

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Solution

The fourth proportional to 2,943.92, 4,411.50 and 1,481.25 is: 2,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.92 : 4,411.50 = 1,481.25 : x
  2. Step 2: Convert to fraction form
    2,943.92/4,411.50 = 1,481.25/x
  3. Step 3: Cross multiply
    2,943.92x = 4,411.50 × 1,481.25
  4. Step 4: Simplify right side
    2,943.92x = 6,534,534.38
  5. Step 5: Solve for x
    x = 6,534,534.38/2,943.92
  6. Step 6: Final answer
    x = 2,219.67

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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.