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Finding the Fourth Proportional to 2,863.52, 4,295.04 and 1,324.52

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Solution

The fourth proportional to 2,863.52, 4,295.04 and 1,324.52 is: 1,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.52 : 4,295.04 = 1,324.52 : x
  2. Step 2: Convert to fraction form
    2,863.52/4,295.04 = 1,324.52/x
  3. Step 3: Cross multiply
    2,863.52x = 4,295.04 × 1,324.52
  4. Step 4: Simplify right side
    2,863.52x = 5,688,866.38
  5. Step 5: Solve for x
    x = 5,688,866.38/2,863.52
  6. Step 6: Final answer
    x = 1,986.67

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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.